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Finding the Third Proportional to 356,053,304,232.62 and 480,399,506,781.38

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Solution

The third proportional to 356,053,304,232.62 and 480,399,506,781.38 is: 648,171,729,829.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,053,304,232.62 : 480,399,506,781.38 = 480,399,506,781.38 : x
  2. Step 2: Convert to fraction form
    356,053,304,232.62/480,399,506,781.38 = 480,399,506,781.38/x
  3. Step 3: Cross multiply
    356,053,304,232.62x = 480,399,506,781.38 × 480,399,506,781.38
  4. Step 4: Simplify right side
    356,053,304,232.62x = 230,783,686,115,793,181,868,032
  5. Step 5: Solve for x
    x = 230,783,686,115,793,181,868,032/356,053,304,232.62
  6. Step 6: Final answer
    x = 648,171,729,829.01

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.