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Finding the Third Proportional to 11,553,574 and 16,151,777

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Solution

The third proportional to 11,553,574 and 16,151,777 is: 22,580,017.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553,574 : 16,151,777 = 16,151,777 : x
  2. Step 2: Convert to fraction form
    11,553,574/16,151,777 = 16,151,777/x
  3. Step 3: Cross multiply
    11,553,574x = 16,151,777 × 16,151,777
  4. Step 4: Simplify right side
    11,553,574x = 260,879,900,257,729
  5. Step 5: Solve for x
    x = 260,879,900,257,729/11,553,574
  6. Step 6: Final answer
    x = 22,580,017.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.