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Finding the Third Proportional to 30,532,291 and 65,847,416

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Solution

The third proportional to 30,532,291 and 65,847,416 is: 142,009,723.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,532,291 : 65,847,416 = 65,847,416 : x
  2. Step 2: Convert to fraction form
    30,532,291/65,847,416 = 65,847,416/x
  3. Step 3: Cross multiply
    30,532,291x = 65,847,416 × 65,847,416
  4. Step 4: Simplify right side
    30,532,291x = 4,335,882,193,877,056
  5. Step 5: Solve for x
    x = 4,335,882,193,877,056/30,532,291
  6. Step 6: Final answer
    x = 142,009,723.21

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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.