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Finding the Third Proportional to 9,732,306.44 and 22,974,027.07

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Solution

The third proportional to 9,732,306.44 and 22,974,027.07 is: 54,232,357.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732,306.44 : 22,974,027.07 = 22,974,027.07 : x
  2. Step 2: Convert to fraction form
    9,732,306.44/22,974,027.07 = 22,974,027.07/x
  3. Step 3: Cross multiply
    9,732,306.44x = 22,974,027.07 × 22,974,027.07
  4. Step 4: Simplify right side
    9,732,306.44x = 527,805,919,962,102.31
  5. Step 5: Solve for x
    x = 527,805,919,962,102.31/9,732,306.44
  6. Step 6: Final answer
    x = 54,232,357.26

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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.