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Finding the Third Proportional to 1,248,692,747,098 and 1,986,915,633,824

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Solution

The third proportional to 1,248,692,747,098 and 1,986,915,633,824 is: 3,161,573,369,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248,692,747,098 : 1,986,915,633,824 = 1,986,915,633,824 : x
  2. Step 2: Convert to fraction form
    1,248,692,747,098/1,986,915,633,824 = 1,986,915,633,824/x
  3. Step 3: Cross multiply
    1,248,692,747,098x = 1,986,915,633,824 × 1,986,915,633,824
  4. Step 4: Simplify right side
    1,248,692,747,098x = 3,947,833,735,934,227,609,812,992
  5. Step 5: Solve for x
    x = 3,947,833,735,934,227,609,812,992/1,248,692,747,098
  6. Step 6: Final answer
    x = 3,161,573,369,517.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.