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Finding the Third Proportional to 7,650,665 and 16,164,867

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Solution

The third proportional to 7,650,665 and 16,164,867 is: 34,154,276.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,650,665 : 16,164,867 = 16,164,867 : x
  2. Step 2: Convert to fraction form
    7,650,665/16,164,867 = 16,164,867/x
  3. Step 3: Cross multiply
    7,650,665x = 16,164,867 × 16,164,867
  4. Step 4: Simplify right side
    7,650,665x = 261,302,925,127,689
  5. Step 5: Solve for x
    x = 261,302,925,127,689/7,650,665
  6. Step 6: Final answer
    x = 34,154,276.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.