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Finding the Third Proportional to 8,969,285.25 and 13,914,838.13

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Solution

The third proportional to 8,969,285.25 and 13,914,838.13 is: 21,587,307.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,969,285.25 : 13,914,838.13 = 13,914,838.13 : x
  2. Step 2: Convert to fraction form
    8,969,285.25/13,914,838.13 = 13,914,838.13/x
  3. Step 3: Cross multiply
    8,969,285.25x = 13,914,838.13 × 13,914,838.13
  4. Step 4: Simplify right side
    8,969,285.25x = 193,622,720,044,953.50
  5. Step 5: Solve for x
    x = 193,622,720,044,953.50/8,969,285.25
  6. Step 6: Final answer
    x = 21,587,307.64

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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.