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Finding the Third Proportional to 4,894,820 and 10,498,210

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Solution

The third proportional to 4,894,820 and 10,498,210 is: 22,516,131.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894,820 : 10,498,210 = 10,498,210 : x
  2. Step 2: Convert to fraction form
    4,894,820/10,498,210 = 10,498,210/x
  3. Step 3: Cross multiply
    4,894,820x = 10,498,210 × 10,498,210
  4. Step 4: Simplify right side
    4,894,820x = 110,212,413,204,100
  5. Step 5: Solve for x
    x = 110,212,413,204,100/4,894,820
  6. Step 6: Final answer
    x = 22,516,131.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.