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Finding the Third Proportional to 53,754,740.25 and 83,008,434.75

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Solution

The third proportional to 53,754,740.25 and 83,008,434.75 is: 128,182,188.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,754,740.25 : 83,008,434.75 = 83,008,434.75 : x
  2. Step 2: Convert to fraction form
    53,754,740.25/83,008,434.75 = 83,008,434.75/x
  3. Step 3: Cross multiply
    53,754,740.25x = 83,008,434.75 × 83,008,434.75
  4. Step 4: Simplify right side
    53,754,740.25x = 6,890,400,239,645,008
  5. Step 5: Solve for x
    x = 6,890,400,239,645,008/53,754,740.25
  6. Step 6: Final answer
    x = 128,182,188.35

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.