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Finding the Third Proportional to 2,039,149,973 and 3,148,804,432

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Solution

The third proportional to 2,039,149,973 and 3,148,804,432 is: 4,862,305,118.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039,149,973 : 3,148,804,432 = 3,148,804,432 : x
  2. Step 2: Convert to fraction form
    2,039,149,973/3,148,804,432 = 3,148,804,432/x
  3. Step 3: Cross multiply
    2,039,149,973x = 3,148,804,432 × 3,148,804,432
  4. Step 4: Simplify right side
    2,039,149,973x = 9,914,969,350,982,842,368
  5. Step 5: Solve for x
    x = 9,914,969,350,982,842,368/2,039,149,973
  6. Step 6: Final answer
    x = 4,862,305,118.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.