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Finding the Third Proportional to 9,321,931.50 and 21,974,380.50

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Solution

The third proportional to 9,321,931.50 and 21,974,380.50 is: 51,799,715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321,931.50 : 21,974,380.50 = 21,974,380.50 : x
  2. Step 2: Convert to fraction form
    9,321,931.50/21,974,380.50 = 21,974,380.50/x
  3. Step 3: Cross multiply
    9,321,931.50x = 21,974,380.50 × 21,974,380.50
  4. Step 4: Simplify right side
    9,321,931.50x = 482,873,398,358,780.25
  5. Step 5: Solve for x
    x = 482,873,398,358,780.25/9,321,931.50
  6. Step 6: Final answer
    x = 51,799,715.37

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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.