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Finding the Third Proportional to 7,815,472 and 16,470,624

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Solution

The third proportional to 7,815,472 and 16,470,624 is: 34,710,821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815,472 : 16,470,624 = 16,470,624 : x
  2. Step 2: Convert to fraction form
    7,815,472/16,470,624 = 16,470,624/x
  3. Step 3: Cross multiply
    7,815,472x = 16,470,624 × 16,470,624
  4. Step 4: Simplify right side
    7,815,472x = 271,281,454,949,376
  5. Step 5: Solve for x
    x = 271,281,454,949,376/7,815,472
  6. Step 6: Final answer
    x = 34,710,821.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.