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Finding the Third Proportional to 2,039,149,470 and 3,148,803,642

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Solution

The third proportional to 2,039,149,470 and 3,148,803,642 is: 4,862,303,878.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039,149,470 : 3,148,803,642 = 3,148,803,642 : x
  2. Step 2: Convert to fraction form
    2,039,149,470/3,148,803,642 = 3,148,803,642/x
  3. Step 3: Cross multiply
    2,039,149,470x = 3,148,803,642 × 3,148,803,642
  4. Step 4: Simplify right side
    2,039,149,470x = 9,914,964,375,872,464,896
  5. Step 5: Solve for x
    x = 9,914,964,375,872,464,896/2,039,149,470
  6. Step 6: Final answer
    x = 4,862,303,878.03

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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.