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Finding the Third Proportional to 6,147,214 and 9,876,924

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Solution

The third proportional to 6,147,214 and 9,876,924 is: 15,869,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147,214 : 9,876,924 = 9,876,924 : x
  2. Step 2: Convert to fraction form
    6,147,214/9,876,924 = 9,876,924/x
  3. Step 3: Cross multiply
    6,147,214x = 9,876,924 × 9,876,924
  4. Step 4: Simplify right side
    6,147,214x = 97,553,627,701,776
  5. Step 5: Solve for x
    x = 97,553,627,701,776/6,147,214
  6. Step 6: Final answer
    x = 15,869,567.53

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.