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Finding the Third Proportional to 10,459,086 and 22,598,766.75

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Solution

The third proportional to 10,459,086 and 22,598,766.75 is: 48,828,765.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459,086 : 22,598,766.75 = 22,598,766.75 : x
  2. Step 2: Convert to fraction form
    10,459,086/22,598,766.75 = 22,598,766.75/x
  3. Step 3: Cross multiply
    10,459,086x = 22,598,766.75 × 22,598,766.75
  4. Step 4: Simplify right side
    10,459,086x = 510,704,258,620,905.56
  5. Step 5: Solve for x
    x = 510,704,258,620,905.56/10,459,086
  6. Step 6: Final answer
    x = 48,828,765.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.