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Finding the Third Proportional to 34,220,295 and 71,271,297

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Solution

The third proportional to 34,220,295 and 71,271,297 is: 148,438,164.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,220,295 : 71,271,297 = 71,271,297 : x
  2. Step 2: Convert to fraction form
    34,220,295/71,271,297 = 71,271,297/x
  3. Step 3: Cross multiply
    34,220,295x = 71,271,297 × 71,271,297
  4. Step 4: Simplify right side
    34,220,295x = 5,079,597,776,062,209
  5. Step 5: Solve for x
    x = 5,079,597,776,062,209/34,220,295
  6. Step 6: Final answer
    x = 148,438,164.43

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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.