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Finding the Third Proportional to 1,096,245,652 and 1,614,088,734

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Solution

The third proportional to 1,096,245,652 and 1,614,088,734 is: 2,376,549,851.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,245,652 : 1,614,088,734 = 1,614,088,734 : x
  2. Step 2: Convert to fraction form
    1,096,245,652/1,614,088,734 = 1,614,088,734/x
  3. Step 3: Cross multiply
    1,096,245,652x = 1,614,088,734 × 1,614,088,734
  4. Step 4: Simplify right side
    1,096,245,652x = 2,605,282,441,225,722,880
  5. Step 5: Solve for x
    x = 2,605,282,441,225,722,880/1,096,245,652
  6. Step 6: Final answer
    x = 2,376,549,851.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.