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Finding the Third Proportional to 8,109,748 and 11,337,906

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Solution

The third proportional to 8,109,748 and 11,337,906 is: 15,851,061.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109,748 : 11,337,906 = 11,337,906 : x
  2. Step 2: Convert to fraction form
    8,109,748/11,337,906 = 11,337,906/x
  3. Step 3: Cross multiply
    8,109,748x = 11,337,906 × 11,337,906
  4. Step 4: Simplify right side
    8,109,748x = 128,548,112,464,836
  5. Step 5: Solve for x
    x = 128,548,112,464,836/8,109,748
  6. Step 6: Final answer
    x = 15,851,061.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.