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Finding the Third Proportional to 5,088,715 and 10,974,571

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Solution

The third proportional to 5,088,715 and 10,974,571 is: 23,668,295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,088,715 : 10,974,571 = 10,974,571 : x
  2. Step 2: Convert to fraction form
    5,088,715/10,974,571 = 10,974,571/x
  3. Step 3: Cross multiply
    5,088,715x = 10,974,571 × 10,974,571
  4. Step 4: Simplify right side
    5,088,715x = 120,441,208,634,041
  5. Step 5: Solve for x
    x = 120,441,208,634,041/5,088,715
  6. Step 6: Final answer
    x = 23,668,295.17

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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.