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Finding the Third Proportional to 5,770,074 and 9,136,614

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Solution

The third proportional to 5,770,074 and 9,136,614 is: 14,467,356.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770,074 : 9,136,614 = 9,136,614 : x
  2. Step 2: Convert to fraction form
    5,770,074/9,136,614 = 9,136,614/x
  3. Step 3: Cross multiply
    5,770,074x = 9,136,614 × 9,136,614
  4. Step 4: Simplify right side
    5,770,074x = 83,477,715,384,996
  5. Step 5: Solve for x
    x = 83,477,715,384,996/5,770,074
  6. Step 6: Final answer
    x = 14,467,356.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.