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Finding the Third Proportional to 237,740,464 and 517,686,884

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Solution

The third proportional to 237,740,464 and 517,686,884 is: 1,127,278,484.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,740,464 : 517,686,884 = 517,686,884 : x
  2. Step 2: Convert to fraction form
    237,740,464/517,686,884 = 517,686,884/x
  3. Step 3: Cross multiply
    237,740,464x = 517,686,884 × 517,686,884
  4. Step 4: Simplify right side
    237,740,464x = 267,999,709,865,629,440
  5. Step 5: Solve for x
    x = 267,999,709,865,629,440/237,740,464
  6. Step 6: Final answer
    x = 1,127,278,484.09

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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.