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Finding the Third Proportional to 898,242,832.50 and 1,965,815,233.50

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Solution

The third proportional to 898,242,832.50 and 1,965,815,233.50 is: 4,302,210,262.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    898,242,832.50 : 1,965,815,233.50 = 1,965,815,233.50 : x
  2. Step 2: Convert to fraction form
    898,242,832.50/1,965,815,233.50 = 1,965,815,233.50/x
  3. Step 3: Cross multiply
    898,242,832.50x = 1,965,815,233.50 × 1,965,815,233.50
  4. Step 4: Simplify right side
    898,242,832.50x = 3,864,429,532,260,659,712
  5. Step 5: Solve for x
    x = 3,864,429,532,260,659,712/898,242,832.50
  6. Step 6: Final answer
    x = 4,302,210,262.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.