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Finding the Third Proportional to 20,819,794.50 and 45,114,468.75

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Solution

The third proportional to 20,819,794.50 and 45,114,468.75 is: 97,758,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,819,794.50 : 45,114,468.75 = 45,114,468.75 : x
  2. Step 2: Convert to fraction form
    20,819,794.50/45,114,468.75 = 45,114,468.75/x
  3. Step 3: Cross multiply
    20,819,794.50x = 45,114,468.75 × 45,114,468.75
  4. Step 4: Simplify right side
    20,819,794.50x = 2,035,315,290,594,726.50
  5. Step 5: Solve for x
    x = 2,035,315,290,594,726.50/20,819,794.50
  6. Step 6: Final answer
    x = 97,758,663.78

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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.