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Finding the Third Proportional to 5,307,049 and 11,606,978

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Solution

The third proportional to 5,307,049 and 11,606,978 is: 25,385,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307,049 : 11,606,978 = 11,606,978 : x
  2. Step 2: Convert to fraction form
    5,307,049/11,606,978 = 11,606,978/x
  3. Step 3: Cross multiply
    5,307,049x = 11,606,978 × 11,606,978
  4. Step 4: Simplify right side
    5,307,049x = 134,721,938,292,484
  5. Step 5: Solve for x
    x = 134,721,938,292,484/5,307,049
  6. Step 6: Final answer
    x = 25,385,470.96

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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.