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Finding the Third Proportional to 9,518,850 and 14,501,349

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Solution

The third proportional to 9,518,850 and 14,501,349 is: 22,091,862.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518,850 : 14,501,349 = 14,501,349 : x
  2. Step 2: Convert to fraction form
    9,518,850/14,501,349 = 14,501,349/x
  3. Step 3: Cross multiply
    9,518,850x = 14,501,349 × 14,501,349
  4. Step 4: Simplify right side
    9,518,850x = 210,289,122,819,801
  5. Step 5: Solve for x
    x = 210,289,122,819,801/9,518,850
  6. Step 6: Final answer
    x = 22,091,862.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.