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Finding the Third Proportional to 19,762,427.25 and 42,823,275.75

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Solution

The third proportional to 19,762,427.25 and 42,823,275.75 is: 92,793,912.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762,427.25 : 42,823,275.75 = 42,823,275.75 : x
  2. Step 2: Convert to fraction form
    19,762,427.25/42,823,275.75 = 42,823,275.75/x
  3. Step 3: Cross multiply
    19,762,427.25x = 42,823,275.75 × 42,823,275.75
  4. Step 4: Simplify right side
    19,762,427.25x = 1,833,832,945,960,538
  5. Step 5: Solve for x
    x = 1,833,832,945,960,538/19,762,427.25
  6. Step 6: Final answer
    x = 92,793,912.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.