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Finding the Third Proportional to 1,760,935,727 and 3,838,278,002

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Solution

The third proportional to 1,760,935,727 and 3,838,278,002 is: 8,366,221,319.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760,935,727 : 3,838,278,002 = 3,838,278,002 : x
  2. Step 2: Convert to fraction form
    1,760,935,727/3,838,278,002 = 3,838,278,002/x
  3. Step 3: Cross multiply
    1,760,935,727x = 3,838,278,002 × 3,838,278,002
  4. Step 4: Simplify right side
    1,760,935,727x = 14,732,378,020,637,112,320
  5. Step 5: Solve for x
    x = 14,732,378,020,637,112,320/1,760,935,727
  6. Step 6: Final answer
    x = 8,366,221,319.01

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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.