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Finding the Third Proportional to 12,551,985 and 19,396,013.63

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Solution

The third proportional to 12,551,985 and 19,396,013.63 is: 29,971,780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,551,985 : 19,396,013.63 = 19,396,013.63 : x
  2. Step 2: Convert to fraction form
    12,551,985/19,396,013.63 = 19,396,013.63/x
  3. Step 3: Cross multiply
    12,551,985x = 19,396,013.63 × 19,396,013.63
  4. Step 4: Simplify right side
    12,551,985x = 376,205,344,541,185.62
  5. Step 5: Solve for x
    x = 376,205,344,541,185.62/12,551,985
  6. Step 6: Final answer
    x = 29,971,780.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.