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Finding the Third Proportional to 6,514,254 and 14,100,804

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Solution

The third proportional to 6,514,254 and 14,100,804 is: 30,522,708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514,254 : 14,100,804 = 14,100,804 : x
  2. Step 2: Convert to fraction form
    6,514,254/14,100,804 = 14,100,804/x
  3. Step 3: Cross multiply
    6,514,254x = 14,100,804 × 14,100,804
  4. Step 4: Simplify right side
    6,514,254x = 198,832,673,446,416
  5. Step 5: Solve for x
    x = 198,832,673,446,416/6,514,254
  6. Step 6: Final answer
    x = 30,522,708.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.