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Finding the Third Proportional to 11,385,461.25 and 17,513,708.63

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Solution

The third proportional to 11,385,461.25 and 17,513,708.63 is: 26,940,497.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,385,461.25 : 17,513,708.63 = 17,513,708.63 : x
  2. Step 2: Convert to fraction form
    11,385,461.25/17,513,708.63 = 17,513,708.63/x
  3. Step 3: Cross multiply
    11,385,461.25x = 17,513,708.63 × 17,513,708.63
  4. Step 4: Simplify right side
    11,385,461.25x = 306,729,989,801,399.38
  5. Step 5: Solve for x
    x = 306,729,989,801,399.38/11,385,461.25
  6. Step 6: Final answer
    x = 26,940,497.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.