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Finding the Third Proportional to 51,759,458 and 110,789,780

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Solution

The third proportional to 51,759,458 and 110,789,780 is: 237,142,656.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,759,458 : 110,789,780 = 110,789,780 : x
  2. Step 2: Convert to fraction form
    51,759,458/110,789,780 = 110,789,780/x
  3. Step 3: Cross multiply
    51,759,458x = 110,789,780 × 110,789,780
  4. Step 4: Simplify right side
    51,759,458x = 12,274,375,352,448,400
  5. Step 5: Solve for x
    x = 12,274,375,352,448,400/51,759,458
  6. Step 6: Final answer
    x = 237,142,656.18

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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.