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Finding the Third Proportional to 2,499,340,535 and 5,374,823,200

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Solution

The third proportional to 2,499,340,535 and 5,374,823,200 is: 11,558,538,753.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499,340,535 : 5,374,823,200 = 5,374,823,200 : x
  2. Step 2: Convert to fraction form
    2,499,340,535/5,374,823,200 = 5,374,823,200/x
  3. Step 3: Cross multiply
    2,499,340,535x = 5,374,823,200 × 5,374,823,200
  4. Step 4: Simplify right side
    2,499,340,535x = 28,888,724,431,258,238,976
  5. Step 5: Solve for x
    x = 28,888,724,431,258,238,976/2,499,340,535
  6. Step 6: Final answer
    x = 11,558,538,753.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.