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Finding the Third Proportional to 9,574,918 and 20,951,564

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Solution

The third proportional to 9,574,918 and 20,951,564 is: 45,845,618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574,918 : 20,951,564 = 20,951,564 : x
  2. Step 2: Convert to fraction form
    9,574,918/20,951,564 = 20,951,564/x
  3. Step 3: Cross multiply
    9,574,918x = 20,951,564 × 20,951,564
  4. Step 4: Simplify right side
    9,574,918x = 438,968,034,046,096
  5. Step 5: Solve for x
    x = 438,968,034,046,096/9,574,918
  6. Step 6: Final answer
    x = 45,845,618.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.