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Finding the Third Proportional to 10,016,990 and 14,966,511

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Solution

The third proportional to 10,016,990 and 14,966,511 is: 22,361,652.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016,990 : 14,966,511 = 14,966,511 : x
  2. Step 2: Convert to fraction form
    10,016,990/14,966,511 = 14,966,511/x
  3. Step 3: Cross multiply
    10,016,990x = 14,966,511 × 14,966,511
  4. Step 4: Simplify right side
    10,016,990x = 223,996,451,513,121
  5. Step 5: Solve for x
    x = 223,996,451,513,121/10,016,990
  6. Step 6: Final answer
    x = 22,361,652.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.