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Finding the Third Proportional to 6,526,940 and 14,138,650

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Solution

The third proportional to 6,526,940 and 14,138,650 is: 30,627,127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526,940 : 14,138,650 = 14,138,650 : x
  2. Step 2: Convert to fraction form
    6,526,940/14,138,650 = 14,138,650/x
  3. Step 3: Cross multiply
    6,526,940x = 14,138,650 × 14,138,650
  4. Step 4: Simplify right side
    6,526,940x = 199,901,423,822,500
  5. Step 5: Solve for x
    x = 199,901,423,822,500/6,526,940
  6. Step 6: Final answer
    x = 30,627,127.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.