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Finding the Third Proportional to 1,105,304,648 and 2,382,787,432

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Solution

The third proportional to 1,105,304,648 and 2,382,787,432 is: 5,136,752,076.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105,304,648 : 2,382,787,432 = 2,382,787,432 : x
  2. Step 2: Convert to fraction form
    1,105,304,648/2,382,787,432 = 2,382,787,432/x
  3. Step 3: Cross multiply
    1,105,304,648x = 2,382,787,432 × 2,382,787,432
  4. Step 4: Simplify right side
    1,105,304,648x = 5,677,675,946,097,155,072
  5. Step 5: Solve for x
    x = 5,677,675,946,097,155,072/1,105,304,648
  6. Step 6: Final answer
    x = 5,136,752,076.79

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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.