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Finding the Third Proportional to 1,124,617,267,684 and 1,713,238,209,373

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Solution

The third proportional to 1,124,617,267,684 and 1,713,238,209,373 is: 2,609,941,396,418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,124,617,267,684 : 1,713,238,209,373 = 1,713,238,209,373 : x
  2. Step 2: Convert to fraction form
    1,124,617,267,684/1,713,238,209,373 = 1,713,238,209,373/x
  3. Step 3: Cross multiply
    1,124,617,267,684x = 1,713,238,209,373 × 1,713,238,209,373
  4. Step 4: Simplify right side
    1,124,617,267,684x = 2,935,185,162,055,603,296,665,600
  5. Step 5: Solve for x
    x = 2,935,185,162,055,603,296,665,600/1,124,617,267,684
  6. Step 6: Final answer
    x = 2,609,941,396,418.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.