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Finding the Third Proportional to 14,100,468 and 19,024,842

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Solution

The third proportional to 14,100,468 and 19,024,842 is: 25,668,978.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,100,468 : 19,024,842 = 19,024,842 : x
  2. Step 2: Convert to fraction form
    14,100,468/19,024,842 = 19,024,842/x
  3. Step 3: Cross multiply
    14,100,468x = 19,024,842 × 19,024,842
  4. Step 4: Simplify right side
    14,100,468x = 361,944,613,124,964
  5. Step 5: Solve for x
    x = 361,944,613,124,964/14,100,468
  6. Step 6: Final answer
    x = 25,668,978.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.