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Finding the Third Proportional to 10,664,786 and 22,948,033

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Solution

The third proportional to 10,664,786 and 22,948,033 is: 49,378,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664,786 : 22,948,033 = 22,948,033 : x
  2. Step 2: Convert to fraction form
    10,664,786/22,948,033 = 22,948,033/x
  3. Step 3: Cross multiply
    10,664,786x = 22,948,033 × 22,948,033
  4. Step 4: Simplify right side
    10,664,786x = 526,612,218,569,089
  5. Step 5: Solve for x
    x = 526,612,218,569,089/10,664,786
  6. Step 6: Final answer
    x = 49,378,601.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.