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Finding the Third Proportional to 40,966,085 and 87,775,419

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Solution

The third proportional to 40,966,085 and 87,775,419 is: 188,070,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,966,085 : 87,775,419 = 87,775,419 : x
  2. Step 2: Convert to fraction form
    40,966,085/87,775,419 = 87,775,419/x
  3. Step 3: Cross multiply
    40,966,085x = 87,775,419 × 87,775,419
  4. Step 4: Simplify right side
    40,966,085x = 7,704,524,180,625,561
  5. Step 5: Solve for x
    x = 7,704,524,180,625,561/40,966,085
  6. Step 6: Final answer
    x = 188,070,795.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.