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Finding the Third Proportional to 8,242,398 and 12,125,214

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Solution

The third proportional to 8,242,398 and 12,125,214 is: 17,837,140.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242,398 : 12,125,214 = 12,125,214 : x
  2. Step 2: Convert to fraction form
    8,242,398/12,125,214 = 12,125,214/x
  3. Step 3: Cross multiply
    8,242,398x = 12,125,214 × 12,125,214
  4. Step 4: Simplify right side
    8,242,398x = 147,020,814,545,796
  5. Step 5: Solve for x
    x = 147,020,814,545,796/8,242,398
  6. Step 6: Final answer
    x = 17,837,140.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.