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Finding the Third Proportional to 1,390,747,610 and 2,947,304,794

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Solution

The third proportional to 1,390,747,610 and 2,947,304,794 is: 6,245,997,107.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390,747,610 : 2,947,304,794 = 2,947,304,794 : x
  2. Step 2: Convert to fraction form
    1,390,747,610/2,947,304,794 = 2,947,304,794/x
  3. Step 3: Cross multiply
    1,390,747,610x = 2,947,304,794 × 2,947,304,794
  4. Step 4: Simplify right side
    1,390,747,610x = 8,686,605,548,735,382,528
  5. Step 5: Solve for x
    x = 8,686,605,548,735,382,528/1,390,747,610
  6. Step 6: Final answer
    x = 6,245,997,107.08

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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.