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Finding the Third Proportional to 9,368,294 and 13,974,720

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Solution

The third proportional to 9,368,294 and 13,974,720 is: 20,846,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368,294 : 13,974,720 = 13,974,720 : x
  2. Step 2: Convert to fraction form
    9,368,294/13,974,720 = 13,974,720/x
  3. Step 3: Cross multiply
    9,368,294x = 13,974,720 × 13,974,720
  4. Step 4: Simplify right side
    9,368,294x = 195,292,799,078,400
  5. Step 5: Solve for x
    x = 195,292,799,078,400/9,368,294
  6. Step 6: Final answer
    x = 20,846,143.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.