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Finding the Third Proportional to 5,207,272 and 11,280,608

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Solution

The third proportional to 5,207,272 and 11,280,608 is: 24,437,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207,272 : 11,280,608 = 11,280,608 : x
  2. Step 2: Convert to fraction form
    5,207,272/11,280,608 = 11,280,608/x
  3. Step 3: Cross multiply
    5,207,272x = 11,280,608 × 11,280,608
  4. Step 4: Simplify right side
    5,207,272x = 127,252,116,849,664
  5. Step 5: Solve for x
    x = 127,252,116,849,664/5,207,272
  6. Step 6: Final answer
    x = 24,437,386.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.