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Finding the Third Proportional to 2,039,149,446 and 3,148,803,606

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Solution

The third proportional to 2,039,149,446 and 3,148,803,606 is: 4,862,303,824.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039,149,446 : 3,148,803,606 = 3,148,803,606 : x
  2. Step 2: Convert to fraction form
    2,039,149,446/3,148,803,606 = 3,148,803,606/x
  3. Step 3: Cross multiply
    2,039,149,446x = 3,148,803,606 × 3,148,803,606
  4. Step 4: Simplify right side
    2,039,149,446x = 9,914,964,149,158,602,752
  5. Step 5: Solve for x
    x = 9,914,964,149,158,602,752/2,039,149,446
  6. Step 6: Final answer
    x = 4,862,303,824.08

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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.