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Finding the Third Proportional to 8,031,510 and 12,235,464

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Solution

The third proportional to 8,031,510 and 12,235,464 is: 18,639,904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,031,510 : 12,235,464 = 12,235,464 : x
  2. Step 2: Convert to fraction form
    8,031,510/12,235,464 = 12,235,464/x
  3. Step 3: Cross multiply
    8,031,510x = 12,235,464 × 12,235,464
  4. Step 4: Simplify right side
    8,031,510x = 149,706,579,295,296
  5. Step 5: Solve for x
    x = 149,706,579,295,296/8,031,510
  6. Step 6: Final answer
    x = 18,639,904.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.