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Finding the Third Proportional to 9,574,980 and 20,777,616

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Solution

The third proportional to 9,574,980 and 20,777,616 is: 45,087,230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574,980 : 20,777,616 = 20,777,616 : x
  2. Step 2: Convert to fraction form
    9,574,980/20,777,616 = 20,777,616/x
  3. Step 3: Cross multiply
    9,574,980x = 20,777,616 × 20,777,616
  4. Step 4: Simplify right side
    9,574,980x = 431,709,326,643,456
  5. Step 5: Solve for x
    x = 431,709,326,643,456/9,574,980
  6. Step 6: Final answer
    x = 45,087,230.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.