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Finding the Third Proportional to 2,415,002,112 and 3,608,065,404

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Solution

The third proportional to 2,415,002,112 and 3,608,065,404 is: 5,390,527,774.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415,002,112 : 3,608,065,404 = 3,608,065,404 : x
  2. Step 2: Convert to fraction form
    2,415,002,112/3,608,065,404 = 3,608,065,404/x
  3. Step 3: Cross multiply
    2,415,002,112x = 3,608,065,404 × 3,608,065,404
  4. Step 4: Simplify right side
    2,415,002,112x = 13,018,135,959,541,684,224
  5. Step 5: Solve for x
    x = 13,018,135,959,541,684,224/2,415,002,112
  6. Step 6: Final answer
    x = 5,390,527,774.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.