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Finding the Third Proportional to 7,214,610.09 and 15,872,126.34

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Solution

The third proportional to 7,214,610.09 and 15,872,126.34 is: 34,918,643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214,610.09 : 15,872,126.34 = 15,872,126.34 : x
  2. Step 2: Convert to fraction form
    7,214,610.09/15,872,126.34 = 15,872,126.34/x
  3. Step 3: Cross multiply
    7,214,610.09x = 15,872,126.34 × 15,872,126.34
  4. Step 4: Simplify right side
    7,214,610.09x = 251,924,394,671,962.75
  5. Step 5: Solve for x
    x = 251,924,394,671,962.75/7,214,610.09
  6. Step 6: Final answer
    x = 34,918,643.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.