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Finding the Third Proportional to 3,261,152,919,376.40 and 7,094,866,952,231.40

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Solution

The third proportional to 3,261,152,919,376.40 and 7,094,866,952,231.40 is: 15,435,380,773,095.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,261,152,919,376.40 : 7,094,866,952,231.40 = 7,094,866,952,231.40 : x
  2. Step 2: Convert to fraction form
    3,261,152,919,376.40/7,094,866,952,231.40 = 7,094,866,952,231.40/x
  3. Step 3: Cross multiply
    3,261,152,919,376.40x = 7,094,866,952,231.40 × 7,094,866,952,231.40
  4. Step 4: Simplify right side
    3,261,152,919,376.40x = 50,337,137,069,865,279,133,057,024
  5. Step 5: Solve for x
    x = 50,337,137,069,865,279,133,057,024/3,261,152,919,376.40
  6. Step 6: Final answer
    x = 15,435,380,773,095.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.