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Finding the Third Proportional to 6,314,292 and 10,169,172

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Solution

The third proportional to 6,314,292 and 10,169,172 is: 16,377,459.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314,292 : 10,169,172 = 10,169,172 : x
  2. Step 2: Convert to fraction form
    6,314,292/10,169,172 = 10,169,172/x
  3. Step 3: Cross multiply
    6,314,292x = 10,169,172 × 10,169,172
  4. Step 4: Simplify right side
    6,314,292x = 103,412,059,165,584
  5. Step 5: Solve for x
    x = 103,412,059,165,584/6,314,292
  6. Step 6: Final answer
    x = 16,377,459.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.