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Finding the Third Proportional to 6,845,072 and 10,522,281

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Solution

The third proportional to 6,845,072 and 10,522,281 is: 16,174,906.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845,072 : 10,522,281 = 10,522,281 : x
  2. Step 2: Convert to fraction form
    6,845,072/10,522,281 = 10,522,281/x
  3. Step 3: Cross multiply
    6,845,072x = 10,522,281 × 10,522,281
  4. Step 4: Simplify right side
    6,845,072x = 110,718,397,442,961
  5. Step 5: Solve for x
    x = 110,718,397,442,961/6,845,072
  6. Step 6: Final answer
    x = 16,174,906.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.