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Finding the Third Proportional to 7,974,127.50 and 17,391,486

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Solution

The third proportional to 7,974,127.50 and 17,391,486 is: 37,930,643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974,127.50 : 17,391,486 = 17,391,486 : x
  2. Step 2: Convert to fraction form
    7,974,127.50/17,391,486 = 17,391,486/x
  3. Step 3: Cross multiply
    7,974,127.50x = 17,391,486 × 17,391,486
  4. Step 4: Simplify right side
    7,974,127.50x = 302,463,785,288,196
  5. Step 5: Solve for x
    x = 302,463,785,288,196/7,974,127.50
  6. Step 6: Final answer
    x = 37,930,643.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.