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Finding the Third Proportional to 311,416,209 and 437,986,062

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Solution

The third proportional to 311,416,209 and 437,986,062 is: 615,998,091.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,416,209 : 437,986,062 = 437,986,062 : x
  2. Step 2: Convert to fraction form
    311,416,209/437,986,062 = 437,986,062/x
  3. Step 3: Cross multiply
    311,416,209x = 437,986,062 × 437,986,062
  4. Step 4: Simplify right side
    311,416,209x = 191,831,790,506,267,840
  5. Step 5: Solve for x
    x = 191,831,790,506,267,840/311,416,209
  6. Step 6: Final answer
    x = 615,998,091.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.