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Finding the Third Proportional to 20,768,520 and 45,452,232

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Solution

The third proportional to 20,768,520 and 45,452,232 is: 99,472,923.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,768,520 : 45,452,232 = 45,452,232 : x
  2. Step 2: Convert to fraction form
    20,768,520/45,452,232 = 45,452,232/x
  3. Step 3: Cross multiply
    20,768,520x = 45,452,232 × 45,452,232
  4. Step 4: Simplify right side
    20,768,520x = 2,065,905,393,781,824
  5. Step 5: Solve for x
    x = 2,065,905,393,781,824/20,768,520
  6. Step 6: Final answer
    x = 99,472,923.14

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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.