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Finding the Third Proportional to 13,778,256 and 22,687,351.75

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Solution

The third proportional to 13,778,256 and 22,687,351.75 is: 37,357,117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778,256 : 22,687,351.75 = 22,687,351.75 : x
  2. Step 2: Convert to fraction form
    13,778,256/22,687,351.75 = 22,687,351.75/x
  3. Step 3: Cross multiply
    13,778,256x = 22,687,351.75 × 22,687,351.75
  4. Step 4: Simplify right side
    13,778,256x = 514,715,929,428,228.06
  5. Step 5: Solve for x
    x = 514,715,929,428,228.06/13,778,256
  6. Step 6: Final answer
    x = 37,357,117.58

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.