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Finding the Third Proportional to 10,655,135.25 and 15,584,121

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Solution

The third proportional to 10,655,135.25 and 15,584,121 is: 22,793,218.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655,135.25 : 15,584,121 = 15,584,121 : x
  2. Step 2: Convert to fraction form
    10,655,135.25/15,584,121 = 15,584,121/x
  3. Step 3: Cross multiply
    10,655,135.25x = 15,584,121 × 15,584,121
  4. Step 4: Simplify right side
    10,655,135.25x = 242,864,827,342,641
  5. Step 5: Solve for x
    x = 242,864,827,342,641/10,655,135.25
  6. Step 6: Final answer
    x = 22,793,218.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.