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Finding the Third Proportional to 4,916,522,643 and 10,813,703,412

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Solution

The third proportional to 4,916,522,643 and 10,813,703,412 is: 23,784,326,845.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,916,522,643 : 10,813,703,412 = 10,813,703,412 : x
  2. Step 2: Convert to fraction form
    4,916,522,643/10,813,703,412 = 10,813,703,412/x
  3. Step 3: Cross multiply
    4,916,522,643x = 10,813,703,412 × 10,813,703,412
  4. Step 4: Simplify right side
    4,916,522,643x = 116,936,181,482,700,439,552
  5. Step 5: Solve for x
    x = 116,936,181,482,700,439,552/4,916,522,643
  6. Step 6: Final answer
    x = 23,784,326,845.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.