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Finding the Third Proportional to 19,694,248 and 31,643,176

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Solution

The third proportional to 19,694,248 and 31,643,176 is: 50,841,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694,248 : 31,643,176 = 31,643,176 : x
  2. Step 2: Convert to fraction form
    19,694,248/31,643,176 = 31,643,176/x
  3. Step 3: Cross multiply
    19,694,248x = 31,643,176 × 31,643,176
  4. Step 4: Simplify right side
    19,694,248x = 1,001,290,587,366,976
  5. Step 5: Solve for x
    x = 1,001,290,587,366,976/19,694,248
  6. Step 6: Final answer
    x = 50,841,778.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.