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Finding the Third Proportional to 34,700,852 and 75,375,334

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Solution

The third proportional to 34,700,852 and 75,375,334 is: 163,726,267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,700,852 : 75,375,334 = 75,375,334 : x
  2. Step 2: Convert to fraction form
    34,700,852/75,375,334 = 75,375,334/x
  3. Step 3: Cross multiply
    34,700,852x = 75,375,334 × 75,375,334
  4. Step 4: Simplify right side
    34,700,852x = 5,681,440,975,611,556
  5. Step 5: Solve for x
    x = 5,681,440,975,611,556/34,700,852
  6. Step 6: Final answer
    x = 163,726,267.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.