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Finding the Third Proportional to 12,257,686 and 19,750,397

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Solution

The third proportional to 12,257,686 and 19,750,397 is: 31,823,150.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257,686 : 19,750,397 = 19,750,397 : x
  2. Step 2: Convert to fraction form
    12,257,686/19,750,397 = 19,750,397/x
  3. Step 3: Cross multiply
    12,257,686x = 19,750,397 × 19,750,397
  4. Step 4: Simplify right side
    12,257,686x = 390,078,181,657,609
  5. Step 5: Solve for x
    x = 390,078,181,657,609/12,257,686
  6. Step 6: Final answer
    x = 31,823,150.12

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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.