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Finding the Third Proportional to 2,452,813,262 and 3,678,319,026

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Solution

The third proportional to 2,452,813,262 and 3,678,319,026 is: 5,516,127,569.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452,813,262 : 3,678,319,026 = 3,678,319,026 : x
  2. Step 2: Convert to fraction form
    2,452,813,262/3,678,319,026 = 3,678,319,026/x
  3. Step 3: Cross multiply
    2,452,813,262x = 3,678,319,026 × 3,678,319,026
  4. Step 4: Simplify right side
    2,452,813,262x = 13,530,030,857,033,588,736
  5. Step 5: Solve for x
    x = 13,530,030,857,033,588,736/2,452,813,262
  6. Step 6: Final answer
    x = 5,516,127,569.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.