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Finding the Third Proportional to 6,243,347 and 13,618,237

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Solution

The third proportional to 6,243,347 and 13,618,237 is: 29,704,640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,243,347 : 13,618,237 = 13,618,237 : x
  2. Step 2: Convert to fraction form
    6,243,347/13,618,237 = 13,618,237/x
  3. Step 3: Cross multiply
    6,243,347x = 13,618,237 × 13,618,237
  4. Step 4: Simplify right side
    6,243,347x = 185,456,378,988,169
  5. Step 5: Solve for x
    x = 185,456,378,988,169/6,243,347
  6. Step 6: Final answer
    x = 29,704,640.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.