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Finding the Third Proportional to 9,778,599 and 21,257,469

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Solution

The third proportional to 9,778,599 and 21,257,469 is: 46,211,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778,599 : 21,257,469 = 21,257,469 : x
  2. Step 2: Convert to fraction form
    9,778,599/21,257,469 = 21,257,469/x
  3. Step 3: Cross multiply
    9,778,599x = 21,257,469 × 21,257,469
  4. Step 4: Simplify right side
    9,778,599x = 451,879,988,285,961
  5. Step 5: Solve for x
    x = 451,879,988,285,961/9,778,599
  6. Step 6: Final answer
    x = 46,211,117.59

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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.