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Finding the Third Proportional to 6,526,938 and 14,138,646

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Solution

The third proportional to 6,526,938 and 14,138,646 is: 30,627,119.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526,938 : 14,138,646 = 14,138,646 : x
  2. Step 2: Convert to fraction form
    6,526,938/14,138,646 = 14,138,646/x
  3. Step 3: Cross multiply
    6,526,938x = 14,138,646 × 14,138,646
  4. Step 4: Simplify right side
    6,526,938x = 199,901,310,713,316
  5. Step 5: Solve for x
    x = 199,901,310,713,316/6,526,938
  6. Step 6: Final answer
    x = 30,627,119.59

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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.