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Finding the Third Proportional to 61,342,947 and 131,304,865.50

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Solution

The third proportional to 61,342,947 and 131,304,865.50 is: 281,058,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,342,947 : 131,304,865.50 = 131,304,865.50 : x
  2. Step 2: Convert to fraction form
    61,342,947/131,304,865.50 = 131,304,865.50/x
  3. Step 3: Cross multiply
    61,342,947x = 131,304,865.50 × 131,304,865.50
  4. Step 4: Simplify right side
    61,342,947x = 17,240,967,703,973,090
  5. Step 5: Solve for x
    x = 17,240,967,703,973,090/61,342,947
  6. Step 6: Final answer
    x = 281,058,679.88

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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.