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Finding the Third Proportional to 10,607,849 and 22,906,006

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Solution

The third proportional to 10,607,849 and 22,906,006 is: 49,461,970.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607,849 : 22,906,006 = 22,906,006 : x
  2. Step 2: Convert to fraction form
    10,607,849/22,906,006 = 22,906,006/x
  3. Step 3: Cross multiply
    10,607,849x = 22,906,006 × 22,906,006
  4. Step 4: Simplify right side
    10,607,849x = 524,685,110,872,036
  5. Step 5: Solve for x
    x = 524,685,110,872,036/10,607,849
  6. Step 6: Final answer
    x = 49,461,970.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.