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Finding the Third Proportional to 2,539,031,990 and 3,921,744,201

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Solution

The third proportional to 2,539,031,990 and 3,921,744,201 is: 6,057,457,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539,031,990 : 3,921,744,201 = 3,921,744,201 : x
  2. Step 2: Convert to fraction form
    2,539,031,990/3,921,744,201 = 3,921,744,201/x
  3. Step 3: Cross multiply
    2,539,031,990x = 3,921,744,201 × 3,921,744,201
  4. Step 4: Simplify right side
    2,539,031,990x = 15,380,077,578,077,128,704
  5. Step 5: Solve for x
    x = 15,380,077,578,077,128,704/2,539,031,990
  6. Step 6: Final answer
    x = 6,057,457,187.88

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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.