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Finding the Third Proportional to 237,740,458 and 517,686,873

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Solution

The third proportional to 237,740,458 and 517,686,873 is: 1,127,278,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,740,458 : 517,686,873 = 517,686,873 : x
  2. Step 2: Convert to fraction form
    237,740,458/517,686,873 = 517,686,873/x
  3. Step 3: Cross multiply
    237,740,458x = 517,686,873 × 517,686,873
  4. Step 4: Simplify right side
    237,740,458x = 267,999,698,476,518,144
  5. Step 5: Solve for x
    x = 267,999,698,476,518,144/237,740,458
  6. Step 6: Final answer
    x = 1,127,278,464.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.