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Finding the Third Proportional to 2,510,276,684 and 5,472,544,420

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Solution

The third proportional to 2,510,276,684 and 5,472,544,420 is: 11,930,454,766.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510,276,684 : 5,472,544,420 = 5,472,544,420 : x
  2. Step 2: Convert to fraction form
    2,510,276,684/5,472,544,420 = 5,472,544,420/x
  3. Step 3: Cross multiply
    2,510,276,684x = 5,472,544,420 × 5,472,544,420
  4. Step 4: Simplify right side
    2,510,276,684x = 29,948,742,428,873,138,176
  5. Step 5: Solve for x
    x = 29,948,742,428,873,138,176/2,510,276,684
  6. Step 6: Final answer
    x = 11,930,454,766.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.