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Finding the Third Proportional to 459,886,727,304 and 1,006,468,842,600

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Solution

The third proportional to 459,886,727,304 and 1,006,468,842,600 is: 2,202,671,812,389.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,886,727,304 : 1,006,468,842,600 = 1,006,468,842,600 : x
  2. Step 2: Convert to fraction form
    459,886,727,304/1,006,468,842,600 = 1,006,468,842,600/x
  3. Step 3: Cross multiply
    459,886,727,304x = 1,006,468,842,600 × 1,006,468,842,600
  4. Step 4: Simplify right side
    459,886,727,304x = 1,012,979,531,124,583,518,175,232
  5. Step 5: Solve for x
    x = 1,012,979,531,124,583,518,175,232/459,886,727,304
  6. Step 6: Final answer
    x = 2,202,671,812,389.51

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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.