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Finding the Third Proportional to 30,532,287 and 65,847,408

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Solution

The third proportional to 30,532,287 and 65,847,408 is: 142,009,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532,287 : 65,847,408 = 65,847,408 : x
  2. Step 2: Convert to fraction form
    30,532,287/65,847,408 = 65,847,408/x
  3. Step 3: Cross multiply
    30,532,287x = 65,847,408 × 65,847,408
  4. Step 4: Simplify right side
    30,532,287x = 4,335,881,140,318,464
  5. Step 5: Solve for x
    x = 4,335,881,140,318,464/30,532,287
  6. Step 6: Final answer
    x = 142,009,707.31

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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.