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Finding the Third Proportional to 31,534,548 and 67,991,304

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Solution

The third proportional to 31,534,548 and 67,991,304 is: 146,595,328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,534,548 : 67,991,304 = 67,991,304 : x
  2. Step 2: Convert to fraction form
    31,534,548/67,991,304 = 67,991,304/x
  3. Step 3: Cross multiply
    31,534,548x = 67,991,304 × 67,991,304
  4. Step 4: Simplify right side
    31,534,548x = 4,622,817,419,620,416
  5. Step 5: Solve for x
    x = 4,622,817,419,620,416/31,534,548
  6. Step 6: Final answer
    x = 146,595,328.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.