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Finding the Third Proportional to 37,140,194 and 87,389,309

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Solution

The third proportional to 37,140,194 and 87,389,309 is: 205,623,355.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,140,194 : 87,389,309 = 87,389,309 : x
  2. Step 2: Convert to fraction form
    37,140,194/87,389,309 = 87,389,309/x
  3. Step 3: Cross multiply
    37,140,194x = 87,389,309 × 87,389,309
  4. Step 4: Simplify right side
    37,140,194x = 7,636,891,327,497,481
  5. Step 5: Solve for x
    x = 7,636,891,327,497,481/37,140,194
  6. Step 6: Final answer
    x = 205,623,355.86

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.