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Finding the Third Proportional to 1,740,608,052 and 3,756,865,221

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Solution

The third proportional to 1,740,608,052 and 3,756,865,221 is: 8,108,681,487.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740,608,052 : 3,756,865,221 = 3,756,865,221 : x
  2. Step 2: Convert to fraction form
    1,740,608,052/3,756,865,221 = 3,756,865,221/x
  3. Step 3: Cross multiply
    1,740,608,052x = 3,756,865,221 × 3,756,865,221
  4. Step 4: Simplify right side
    1,740,608,052x = 14,114,036,288,759,377,920
  5. Step 5: Solve for x
    x = 14,114,036,288,759,377,920/1,740,608,052
  6. Step 6: Final answer
    x = 8,108,681,487.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.