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Finding the Third Proportional to 1,726,360,042 and 2,523,998,760

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Solution

The third proportional to 1,726,360,042 and 2,523,998,760 is: 3,690,174,462.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,726,360,042 : 2,523,998,760 = 2,523,998,760 : x
  2. Step 2: Convert to fraction form
    1,726,360,042/2,523,998,760 = 2,523,998,760/x
  3. Step 3: Cross multiply
    1,726,360,042x = 2,523,998,760 × 2,523,998,760
  4. Step 4: Simplify right side
    1,726,360,042x = 6,370,569,740,481,538,048
  5. Step 5: Solve for x
    x = 6,370,569,740,481,538,048/1,726,360,042
  6. Step 6: Final answer
    x = 3,690,174,462.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.