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Finding the Third Proportional to 9,778,834 and 21,260,190

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Solution

The third proportional to 9,778,834 and 21,260,190 is: 46,221,837.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778,834 : 21,260,190 = 21,260,190 : x
  2. Step 2: Convert to fraction form
    9,778,834/21,260,190 = 21,260,190/x
  3. Step 3: Cross multiply
    9,778,834x = 21,260,190 × 21,260,190
  4. Step 4: Simplify right side
    9,778,834x = 451,995,678,836,100
  5. Step 5: Solve for x
    x = 451,995,678,836,100/9,778,834
  6. Step 6: Final answer
    x = 46,221,837.78

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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.