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Finding the Third Proportional to 10,627,344 and 16,918,456

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Solution

The third proportional to 10,627,344 and 16,918,456 is: 26,933,743.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627,344 : 16,918,456 = 16,918,456 : x
  2. Step 2: Convert to fraction form
    10,627,344/16,918,456 = 16,918,456/x
  3. Step 3: Cross multiply
    10,627,344x = 16,918,456 × 16,918,456
  4. Step 4: Simplify right side
    10,627,344x = 286,234,153,423,936
  5. Step 5: Solve for x
    x = 286,234,153,423,936/10,627,344
  6. Step 6: Final answer
    x = 26,933,743.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.