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Finding the Third Proportional to 311,416,220 and 437,986,078

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Solution

The third proportional to 311,416,220 and 437,986,078 is: 615,998,115.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,416,220 : 437,986,078 = 437,986,078 : x
  2. Step 2: Convert to fraction form
    311,416,220/437,986,078 = 437,986,078/x
  3. Step 3: Cross multiply
    311,416,220x = 437,986,078 × 437,986,078
  4. Step 4: Simplify right side
    311,416,220x = 191,831,804,521,822,080
  5. Step 5: Solve for x
    x = 191,831,804,521,822,080/311,416,220
  6. Step 6: Final answer
    x = 615,998,115.07

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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.