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Finding the Third Proportional to 10,016,960 and 14,966,473

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Solution

The third proportional to 10,016,960 and 14,966,473 is: 22,361,606.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016,960 : 14,966,473 = 14,966,473 : x
  2. Step 2: Convert to fraction form
    10,016,960/14,966,473 = 14,966,473/x
  3. Step 3: Cross multiply
    10,016,960x = 14,966,473 × 14,966,473
  4. Step 4: Simplify right side
    10,016,960x = 223,995,314,059,729
  5. Step 5: Solve for x
    x = 223,995,314,059,729/10,016,960
  6. Step 6: Final answer
    x = 22,361,606.12

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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.