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Finding the Third Proportional to 37,140,173 and 87,389,257

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Solution

The third proportional to 37,140,173 and 87,389,257 is: 205,623,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,140,173 : 87,389,257 = 87,389,257 : x
  2. Step 2: Convert to fraction form
    37,140,173/87,389,257 = 87,389,257/x
  3. Step 3: Cross multiply
    37,140,173x = 87,389,257 × 87,389,257
  4. Step 4: Simplify right side
    37,140,173x = 7,636,882,239,012,049
  5. Step 5: Solve for x
    x = 7,636,882,239,012,049/37,140,173
  6. Step 6: Final answer
    x = 205,623,227.42

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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.