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Finding the Third Proportional to 10,097,180 and 21,734,008

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Solution

The third proportional to 10,097,180 and 21,734,008 is: 46,782,082.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097,180 : 21,734,008 = 21,734,008 : x
  2. Step 2: Convert to fraction form
    10,097,180/21,734,008 = 21,734,008/x
  3. Step 3: Cross multiply
    10,097,180x = 21,734,008 × 21,734,008
  4. Step 4: Simplify right side
    10,097,180x = 472,367,103,744,064
  5. Step 5: Solve for x
    x = 472,367,103,744,064/10,097,180
  6. Step 6: Final answer
    x = 46,782,082.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.