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Finding the Third Proportional to 2,027,829,216 and 4,346,691,216

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Solution

The third proportional to 2,027,829,216 and 4,346,691,216 is: 9,317,216,843.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,027,829,216 : 4,346,691,216 = 4,346,691,216 : x
  2. Step 2: Convert to fraction form
    2,027,829,216/4,346,691,216 = 4,346,691,216/x
  3. Step 3: Cross multiply
    2,027,829,216x = 4,346,691,216 × 4,346,691,216
  4. Step 4: Simplify right side
    2,027,829,216x = 18,893,724,527,251,558,400
  5. Step 5: Solve for x
    x = 18,893,724,527,251,558,400/2,027,829,216
  6. Step 6: Final answer
    x = 9,317,216,843.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.