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Finding the Third Proportional to 1,023,407,424 and 1,572,078,996.56

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Solution

The third proportional to 1,023,407,424 and 1,572,078,996.56 is: 2,414,905,650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,407,424 : 1,572,078,996.56 = 1,572,078,996.56 : x
  2. Step 2: Convert to fraction form
    1,023,407,424/1,572,078,996.56 = 1,572,078,996.56/x
  3. Step 3: Cross multiply
    1,023,407,424x = 1,572,078,996.56 × 1,572,078,996.56
  4. Step 4: Simplify right side
    1,023,407,424x = 2,471,432,371,432,956,928
  5. Step 5: Solve for x
    x = 2,471,432,371,432,956,928/1,023,407,424
  6. Step 6: Final answer
    x = 2,414,905,650.94

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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.