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Finding the Third Proportional to 11,449,602.25 and 24,692,767.25

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Solution

The third proportional to 11,449,602.25 and 24,692,767.25 is: 53,253,618.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,449,602.25 : 24,692,767.25 = 24,692,767.25 : x
  2. Step 2: Convert to fraction form
    11,449,602.25/24,692,767.25 = 24,692,767.25/x
  3. Step 3: Cross multiply
    11,449,602.25x = 24,692,767.25 × 24,692,767.25
  4. Step 4: Simplify right side
    11,449,602.25x = 609,732,754,462,672.50
  5. Step 5: Solve for x
    x = 609,732,754,462,672.50/11,449,602.25
  6. Step 6: Final answer
    x = 53,253,618.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.