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Finding the Third Proportional to 237,740,334 and 517,686,623

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Solution

The third proportional to 237,740,334 and 517,686,623 is: 1,127,277,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,740,334 : 517,686,623 = 517,686,623 : x
  2. Step 2: Convert to fraction form
    237,740,334/517,686,623 = 517,686,623/x
  3. Step 3: Cross multiply
    237,740,334x = 517,686,623 × 517,686,623
  4. Step 4: Simplify right side
    237,740,334x = 267,999,439,633,144,128
  5. Step 5: Solve for x
    x = 267,999,439,633,144,128/237,740,334
  6. Step 6: Final answer
    x = 1,127,277,963.84

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