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Finding the Third Proportional to 7,815,474 and 16,470,628

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Solution

The third proportional to 7,815,474 and 16,470,628 is: 34,710,829.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815,474 : 16,470,628 = 16,470,628 : x
  2. Step 2: Convert to fraction form
    7,815,474/16,470,628 = 16,470,628/x
  3. Step 3: Cross multiply
    7,815,474x = 16,470,628 × 16,470,628
  4. Step 4: Simplify right side
    7,815,474x = 271,281,586,714,384
  5. Step 5: Solve for x
    x = 271,281,586,714,384/7,815,474
  6. Step 6: Final answer
    x = 34,710,829.66

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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.