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Finding the Third Proportional to 356,053,304,233.69 and 480,399,506,782.31

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Solution

The third proportional to 356,053,304,233.69 and 480,399,506,782.31 is: 648,171,729,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,053,304,233.69 : 480,399,506,782.31 = 480,399,506,782.31 : x
  2. Step 2: Convert to fraction form
    356,053,304,233.69/480,399,506,782.31 = 480,399,506,782.31/x
  3. Step 3: Cross multiply
    356,053,304,233.69x = 480,399,506,782.31 × 480,399,506,782.31
  4. Step 4: Simplify right side
    356,053,304,233.69x = 230,783,686,116,686,702,837,760
  5. Step 5: Solve for x
    x = 230,783,686,116,686,702,837,760/356,053,304,233.69
  6. Step 6: Final answer
    x = 648,171,729,829.58

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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.