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Finding the Third Proportional to 8,399,323,396.13 and 17,996,695,572.94

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Solution

The third proportional to 8,399,323,396.13 and 17,996,695,572.94 is: 38,560,374,005.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,399,323,396.13 : 17,996,695,572.94 = 17,996,695,572.94 : x
  2. Step 2: Convert to fraction form
    8,399,323,396.13/17,996,695,572.94 = 17,996,695,572.94/x
  3. Step 3: Cross multiply
    8,399,323,396.13x = 17,996,695,572.94 × 17,996,695,572.94
  4. Step 4: Simplify right side
    8,399,323,396.13x = 323,881,051,545,006,178,304
  5. Step 5: Solve for x
    x = 323,881,051,545,006,178,304/8,399,323,396.13
  6. Step 6: Final answer
    x = 38,560,374,005.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.