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Finding the Third Proportional to 9,732,345.75 and 22,974,120

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Solution

The third proportional to 9,732,345.75 and 22,974,120 is: 54,232,576.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732,345.75 : 22,974,120 = 22,974,120 : x
  2. Step 2: Convert to fraction form
    9,732,345.75/22,974,120 = 22,974,120/x
  3. Step 3: Cross multiply
    9,732,345.75x = 22,974,120 × 22,974,120
  4. Step 4: Simplify right side
    9,732,345.75x = 527,810,189,774,400
  5. Step 5: Solve for x
    x = 527,810,189,774,400/9,732,345.75
  6. Step 6: Final answer
    x = 54,232,576.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.