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Finding the Third Proportional to 54,096,010.31 and 83,793,430.13

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Solution

The third proportional to 54,096,010.31 and 83,793,430.13 is: 129,794,025.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,096,010.31 : 83,793,430.13 = 83,793,430.13 : x
  2. Step 2: Convert to fraction form
    54,096,010.31/83,793,430.13 = 83,793,430.13/x
  3. Step 3: Cross multiply
    54,096,010.31x = 83,793,430.13 × 83,793,430.13
  4. Step 4: Simplify right side
    54,096,010.31x = 7,021,338,932,113,258
  5. Step 5: Solve for x
    x = 7,021,338,932,113,258/54,096,010.31
  6. Step 6: Final answer
    x = 129,794,025.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.