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Finding the Third Proportional to 4,501,980 and 9,857,781

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Solution

The third proportional to 4,501,980 and 9,857,781 is: 21,585,135.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,501,980 : 9,857,781 = 9,857,781 : x
  2. Step 2: Convert to fraction form
    4,501,980/9,857,781 = 9,857,781/x
  3. Step 3: Cross multiply
    4,501,980x = 9,857,781 × 9,857,781
  4. Step 4: Simplify right side
    4,501,980x = 97,175,846,243,961
  5. Step 5: Solve for x
    x = 97,175,846,243,961/4,501,980
  6. Step 6: Final answer
    x = 21,585,135.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.