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Finding the Third Proportional to 34,220,297 and 71,271,301

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Solution

The third proportional to 34,220,297 and 71,271,301 is: 148,438,172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,220,297 : 71,271,301 = 71,271,301 : x
  2. Step 2: Convert to fraction form
    34,220,297/71,271,301 = 71,271,301/x
  3. Step 3: Cross multiply
    34,220,297x = 71,271,301 × 71,271,301
  4. Step 4: Simplify right side
    34,220,297x = 5,079,598,346,232,601
  5. Step 5: Solve for x
    x = 5,079,598,346,232,601/34,220,297
  6. Step 6: Final answer
    x = 148,438,172.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.