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Finding the Third Proportional to 1,390,747,608 and 2,947,304,790

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Solution

The third proportional to 1,390,747,608 and 2,947,304,790 is: 6,245,997,099.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390,747,608 : 2,947,304,790 = 2,947,304,790 : x
  2. Step 2: Convert to fraction form
    1,390,747,608/2,947,304,790 = 2,947,304,790/x
  3. Step 3: Cross multiply
    1,390,747,608x = 2,947,304,790 × 2,947,304,790
  4. Step 4: Simplify right side
    1,390,747,608x = 8,686,605,525,156,943,872
  5. Step 5: Solve for x
    x = 8,686,605,525,156,943,872/1,390,747,608
  6. Step 6: Final answer
    x = 6,245,997,099.11

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.