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Finding the Third Proportional to 37,575,049 and 80,070,848

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Solution

The third proportional to 37,575,049 and 80,070,848 is: 170,627,607.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,575,049 : 80,070,848 = 80,070,848 : x
  2. Step 2: Convert to fraction form
    37,575,049/80,070,848 = 80,070,848/x
  3. Step 3: Cross multiply
    37,575,049x = 80,070,848 × 80,070,848
  4. Step 4: Simplify right side
    37,575,049x = 6,411,340,699,439,104
  5. Step 5: Solve for x
    x = 6,411,340,699,439,104/37,575,049
  6. Step 6: Final answer
    x = 170,627,607.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.