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Finding the Third Proportional to 10,239,209.25 and 21,997,968

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Solution

The third proportional to 10,239,209.25 and 21,997,968 is: 47,260,543.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239,209.25 : 21,997,968 = 21,997,968 : x
  2. Step 2: Convert to fraction form
    10,239,209.25/21,997,968 = 21,997,968/x
  3. Step 3: Cross multiply
    10,239,209.25x = 21,997,968 × 21,997,968
  4. Step 4: Simplify right side
    10,239,209.25x = 483,910,596,129,024
  5. Step 5: Solve for x
    x = 483,910,596,129,024/10,239,209.25
  6. Step 6: Final answer
    x = 47,260,543.69

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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.