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Finding the Third Proportional to 2,136,870,531 and 4,641,591,294

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Solution

The third proportional to 2,136,870,531 and 4,641,591,294 is: 10,082,206,398.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136,870,531 : 4,641,591,294 = 4,641,591,294 : x
  2. Step 2: Convert to fraction form
    2,136,870,531/4,641,591,294 = 4,641,591,294/x
  3. Step 3: Cross multiply
    2,136,870,531x = 4,641,591,294 × 4,641,591,294
  4. Step 4: Simplify right side
    2,136,870,531x = 21,544,369,740,536,594,432
  5. Step 5: Solve for x
    x = 21,544,369,740,536,594,432/2,136,870,531
  6. Step 6: Final answer
    x = 10,082,206,398.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.