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Finding the Third Proportional to 1,023,407,451 and 1,572,079,025.25

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Solution

The third proportional to 1,023,407,451 and 1,572,079,025.25 is: 2,414,905,675.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,407,451 : 1,572,079,025.25 = 1,572,079,025.25 : x
  2. Step 2: Convert to fraction form
    1,023,407,451/1,572,079,025.25 = 1,572,079,025.25/x
  3. Step 3: Cross multiply
    1,023,407,451x = 1,572,079,025.25 × 1,572,079,025.25
  4. Step 4: Simplify right side
    1,023,407,451x = 2,471,432,461,630,990,336
  5. Step 5: Solve for x
    x = 2,471,432,461,630,990,336/1,023,407,451
  6. Step 6: Final answer
    x = 2,414,905,675.37

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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.