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Finding the Third Proportional to 1,105,304,643 and 2,382,787,422

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Solution

The third proportional to 1,105,304,643 and 2,382,787,422 is: 5,136,752,056.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,304,643 : 2,382,787,422 = 2,382,787,422 : x
  2. Step 2: Convert to fraction form
    1,105,304,643/2,382,787,422 = 2,382,787,422/x
  3. Step 3: Cross multiply
    1,105,304,643x = 2,382,787,422 × 2,382,787,422
  4. Step 4: Simplify right side
    1,105,304,643x = 5,677,675,898,441,406,464
  5. Step 5: Solve for x
    x = 5,677,675,898,441,406,464/1,105,304,643
  6. Step 6: Final answer
    x = 5,136,752,056.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.