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Finding the Third Proportional to 7,454,616 and 15,971,664

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Solution

The third proportional to 7,454,616 and 15,971,664 is: 34,219,609.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454,616 : 15,971,664 = 15,971,664 : x
  2. Step 2: Convert to fraction form
    7,454,616/15,971,664 = 15,971,664/x
  3. Step 3: Cross multiply
    7,454,616x = 15,971,664 × 15,971,664
  4. Step 4: Simplify right side
    7,454,616x = 255,094,050,928,896
  5. Step 5: Solve for x
    x = 255,094,050,928,896/7,454,616
  6. Step 6: Final answer
    x = 34,219,609.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.