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Finding the Third Proportional to 5,109,080 and 8,514,768

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Solution

The third proportional to 5,109,080 and 8,514,768 is: 14,190,671.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,109,080 : 8,514,768 = 8,514,768 : x
  2. Step 2: Convert to fraction form
    5,109,080/8,514,768 = 8,514,768/x
  3. Step 3: Cross multiply
    5,109,080x = 8,514,768 × 8,514,768
  4. Step 4: Simplify right side
    5,109,080x = 72,501,274,093,824
  5. Step 5: Solve for x
    x = 72,501,274,093,824/5,109,080
  6. Step 6: Final answer
    x = 14,190,671.14

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.