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Finding the Third Proportional to 1,353,498,340 and 2,039,208,534

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Solution

The third proportional to 1,353,498,340 and 2,039,208,534 is: 3,072,313,664.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353,498,340 : 2,039,208,534 = 2,039,208,534 : x
  2. Step 2: Convert to fraction form
    1,353,498,340/2,039,208,534 = 2,039,208,534/x
  3. Step 3: Cross multiply
    1,353,498,340x = 2,039,208,534 × 2,039,208,534
  4. Step 4: Simplify right side
    1,353,498,340x = 4,158,371,445,138,428,928
  5. Step 5: Solve for x
    x = 4,158,371,445,138,428,928/1,353,498,340
  6. Step 6: Final answer
    x = 3,072,313,664.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.