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Finding the Third Proportional to 57,429,047.25 and 126,016,531.31

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Solution

The third proportional to 57,429,047.25 and 126,016,531.31 is: 276,518,015.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,429,047.25 : 126,016,531.31 = 126,016,531.31 : x
  2. Step 2: Convert to fraction form
    57,429,047.25/126,016,531.31 = 126,016,531.31/x
  3. Step 3: Cross multiply
    57,429,047.25x = 126,016,531.31 × 126,016,531.31
  4. Step 4: Simplify right side
    57,429,047.25x = 15,880,166,164,034,292
  5. Step 5: Solve for x
    x = 15,880,166,164,034,292/57,429,047.25
  6. Step 6: Final answer
    x = 276,518,015.26

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.