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Finding the Third Proportional to 4,149,759,306 and 8,962,093,564

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Solution

The third proportional to 4,149,759,306 and 8,962,093,564 is: 19,355,127,641.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149,759,306 : 8,962,093,564 = 8,962,093,564 : x
  2. Step 2: Convert to fraction form
    4,149,759,306/8,962,093,564 = 8,962,093,564/x
  3. Step 3: Cross multiply
    4,149,759,306x = 8,962,093,564 × 8,962,093,564
  4. Step 4: Simplify right side
    4,149,759,306x = 80,319,121,049,890,226,176
  5. Step 5: Solve for x
    x = 80,319,121,049,890,226,176/4,149,759,306
  6. Step 6: Final answer
    x = 19,355,127,641.68

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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.