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Finding the Third Proportional to 9,116,720 and 19,453,792

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Solution

The third proportional to 9,116,720 and 19,453,792 is: 41,511,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116,720 : 19,453,792 = 19,453,792 : x
  2. Step 2: Convert to fraction form
    9,116,720/19,453,792 = 19,453,792/x
  3. Step 3: Cross multiply
    9,116,720x = 19,453,792 × 19,453,792
  4. Step 4: Simplify right side
    9,116,720x = 378,450,023,179,264
  5. Step 5: Solve for x
    x = 378,450,023,179,264/9,116,720
  6. Step 6: Final answer
    x = 41,511,642.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.