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Finding the Third Proportional to 10,834,016 and 15,852,216

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Solution

The third proportional to 10,834,016 and 15,852,216 is: 23,194,792.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,834,016 : 15,852,216 = 15,852,216 : x
  2. Step 2: Convert to fraction form
    10,834,016/15,852,216 = 15,852,216/x
  3. Step 3: Cross multiply
    10,834,016x = 15,852,216 × 15,852,216
  4. Step 4: Simplify right side
    10,834,016x = 251,292,752,110,656
  5. Step 5: Solve for x
    x = 251,292,752,110,656/10,834,016
  6. Step 6: Final answer
    x = 23,194,792.41

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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.