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Finding the Third Proportional to 10,174,851 and 22,179,138

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Solution

The third proportional to 10,174,851 and 22,179,138 is: 48,346,080.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174,851 : 22,179,138 = 22,179,138 : x
  2. Step 2: Convert to fraction form
    10,174,851/22,179,138 = 22,179,138/x
  3. Step 3: Cross multiply
    10,174,851x = 22,179,138 × 22,179,138
  4. Step 4: Simplify right side
    10,174,851x = 491,914,162,423,044
  5. Step 5: Solve for x
    x = 491,914,162,423,044/10,174,851
  6. Step 6: Final answer
    x = 48,346,080.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.