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Finding the Third Proportional to 6,543,943 and 13,997,678

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Solution

The third proportional to 6,543,943 and 13,997,678 is: 29,941,426.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543,943 : 13,997,678 = 13,997,678 : x
  2. Step 2: Convert to fraction form
    6,543,943/13,997,678 = 13,997,678/x
  3. Step 3: Cross multiply
    6,543,943x = 13,997,678 × 13,997,678
  4. Step 4: Simplify right side
    6,543,943x = 195,934,989,391,684
  5. Step 5: Solve for x
    x = 195,934,989,391,684/6,543,943
  6. Step 6: Final answer
    x = 29,941,426.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.