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Finding the Third Proportional to 5,088,711 and 10,974,561

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Solution

The third proportional to 5,088,711 and 10,974,561 is: 23,668,270.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,088,711 : 10,974,561 = 10,974,561 : x
  2. Step 2: Convert to fraction form
    5,088,711/10,974,561 = 10,974,561/x
  3. Step 3: Cross multiply
    5,088,711x = 10,974,561 × 10,974,561
  4. Step 4: Simplify right side
    5,088,711x = 120,440,989,142,721
  5. Step 5: Solve for x
    x = 120,440,989,142,721/5,088,711
  6. Step 6: Final answer
    x = 23,668,270.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.