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Finding the Third Proportional to 459,886,727,306 and 1,006,468,842,604

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Solution

The third proportional to 459,886,727,306 and 1,006,468,842,604 is: 2,202,671,812,397.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,886,727,306 : 1,006,468,842,604 = 1,006,468,842,604 : x
  2. Step 2: Convert to fraction form
    459,886,727,306/1,006,468,842,604 = 1,006,468,842,604/x
  3. Step 3: Cross multiply
    459,886,727,306x = 1,006,468,842,604 × 1,006,468,842,604
  4. Step 4: Simplify right side
    459,886,727,306x = 1,012,979,531,132,635,373,895,680
  5. Step 5: Solve for x
    x = 1,012,979,531,132,635,373,895,680/459,886,727,306
  6. Step 6: Final answer
    x = 2,202,671,812,397.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.