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Finding the Third Proportional to 781,327,167,160 and 1,626,863,487,704

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Solution

The third proportional to 781,327,167,160 and 1,626,863,487,704 is: 3,387,421,964,661.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,327,167,160 : 1,626,863,487,704 = 1,626,863,487,704 : x
  2. Step 2: Convert to fraction form
    781,327,167,160/1,626,863,487,704 = 1,626,863,487,704/x
  3. Step 3: Cross multiply
    781,327,167,160x = 1,626,863,487,704 × 1,626,863,487,704
  4. Step 4: Simplify right side
    781,327,167,160x = 2,646,684,807,624,422,902,988,800
  5. Step 5: Solve for x
    x = 2,646,684,807,624,422,902,988,800/781,327,167,160
  6. Step 6: Final answer
    x = 3,387,421,964,661.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.