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Finding the Third Proportional to 162,534,350 and 347,111,716

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Solution

The third proportional to 162,534,350 and 347,111,716 is: 741,298,952.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,534,350 : 347,111,716 = 347,111,716 : x
  2. Step 2: Convert to fraction form
    162,534,350/347,111,716 = 347,111,716/x
  3. Step 3: Cross multiply
    162,534,350x = 347,111,716 × 347,111,716
  4. Step 4: Simplify right side
    162,534,350x = 120,486,543,384,464,656
  5. Step 5: Solve for x
    x = 120,486,543,384,464,656/162,534,350
  6. Step 6: Final answer
    x = 741,298,952.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.