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Finding the Third Proportional to 63,126,269 and 135,840,346

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Solution

The third proportional to 63,126,269 and 135,840,346 is: 292,312,533.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,126,269 : 135,840,346 = 135,840,346 : x
  2. Step 2: Convert to fraction form
    63,126,269/135,840,346 = 135,840,346/x
  3. Step 3: Cross multiply
    63,126,269x = 135,840,346 × 135,840,346
  4. Step 4: Simplify right side
    63,126,269x = 18,452,599,601,399,716
  5. Step 5: Solve for x
    x = 18,452,599,601,399,716/63,126,269
  6. Step 6: Final answer
    x = 292,312,533.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.