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Finding the Third Proportional to 9,909,067.50 and 21,766,743

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Solution

The third proportional to 9,909,067.50 and 21,766,743 is: 47,813,893.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909,067.50 : 21,766,743 = 21,766,743 : x
  2. Step 2: Convert to fraction form
    9,909,067.50/21,766,743 = 21,766,743/x
  3. Step 3: Cross multiply
    9,909,067.50x = 21,766,743 × 21,766,743
  4. Step 4: Simplify right side
    9,909,067.50x = 473,791,100,828,049
  5. Step 5: Solve for x
    x = 473,791,100,828,049/9,909,067.50
  6. Step 6: Final answer
    x = 47,813,893.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.