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Finding the Third Proportional to 72,580,419 and 107,510,069

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Solution

The third proportional to 72,580,419 and 107,510,069 is: 159,249,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,580,419 : 107,510,069 = 107,510,069 : x
  2. Step 2: Convert to fraction form
    72,580,419/107,510,069 = 107,510,069/x
  3. Step 3: Cross multiply
    72,580,419x = 107,510,069 × 107,510,069
  4. Step 4: Simplify right side
    72,580,419x = 11,558,414,936,384,760
  5. Step 5: Solve for x
    x = 11,558,414,936,384,760/72,580,419
  6. Step 6: Final answer
    x = 159,249,768.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.