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Finding the Third Proportional to 45,782,934 and 99,517,773

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Solution

The third proportional to 45,782,934 and 99,517,773 is: 216,320,499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,782,934 : 99,517,773 = 99,517,773 : x
  2. Step 2: Convert to fraction form
    45,782,934/99,517,773 = 99,517,773/x
  3. Step 3: Cross multiply
    45,782,934x = 99,517,773 × 99,517,773
  4. Step 4: Simplify right side
    45,782,934x = 9,903,787,142,879,528
  5. Step 5: Solve for x
    x = 9,903,787,142,879,528/45,782,934
  6. Step 6: Final answer
    x = 216,320,499.31

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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.