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Finding the Third Proportional to 10,987,643 and 16,163,923

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Solution

The third proportional to 10,987,643 and 16,163,923 is: 23,778,749.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,987,643 : 16,163,923 = 16,163,923 : x
  2. Step 2: Convert to fraction form
    10,987,643/16,163,923 = 16,163,923/x
  3. Step 3: Cross multiply
    10,987,643x = 16,163,923 × 16,163,923
  4. Step 4: Simplify right side
    10,987,643x = 261,272,406,749,929
  5. Step 5: Solve for x
    x = 261,272,406,749,929/10,987,643
  6. Step 6: Final answer
    x = 23,778,749.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.