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Finding the Third Proportional to 61,471,411.31 and 93,465,835.03

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Solution

The third proportional to 61,471,411.31 and 93,465,835.03 is: 142,112,603.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,471,411.31 : 93,465,835.03 = 93,465,835.03 : x
  2. Step 2: Convert to fraction form
    61,471,411.31/93,465,835.03 = 93,465,835.03/x
  3. Step 3: Cross multiply
    61,471,411.31x = 93,465,835.03 × 93,465,835.03
  4. Step 4: Simplify right side
    61,471,411.31x = 8,735,862,318,088,840
  5. Step 5: Solve for x
    x = 8,735,862,318,088,840/61,471,411.31
  6. Step 6: Final answer
    x = 142,112,603.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.