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Finding the Third Proportional to 10,028,995,256 and 15,068,764,884

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Solution

The third proportional to 10,028,995,256 and 15,068,764,884 is: 22,641,119,008.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028,995,256 : 15,068,764,884 = 15,068,764,884 : x
  2. Step 2: Convert to fraction form
    10,028,995,256/15,068,764,884 = 15,068,764,884/x
  3. Step 3: Cross multiply
    10,028,995,256x = 15,068,764,884 × 15,068,764,884
  4. Step 4: Simplify right side
    10,028,995,256x = 227,067,675,129,271,517,184
  5. Step 5: Solve for x
    x = 227,067,675,129,271,517,184/10,028,995,256
  6. Step 6: Final answer
    x = 22,641,119,008.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.