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Finding the Third Proportional to 2,039,149,364 and 3,148,803,434

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Solution

The third proportional to 2,039,149,364 and 3,148,803,434 is: 4,862,303,488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039,149,364 : 3,148,803,434 = 3,148,803,434 : x
  2. Step 2: Convert to fraction form
    2,039,149,364/3,148,803,434 = 3,148,803,434/x
  3. Step 3: Cross multiply
    2,039,149,364x = 3,148,803,434 × 3,148,803,434
  4. Step 4: Simplify right side
    2,039,149,364x = 9,914,963,065,970,192,384
  5. Step 5: Solve for x
    x = 9,914,963,065,970,192,384/2,039,149,364
  6. Step 6: Final answer
    x = 4,862,303,488.41

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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.