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Finding the Third Proportional to 4,771,144.50 and 10,298,982

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Solution

The third proportional to 4,771,144.50 and 10,298,982 is: 22,231,359.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771,144.50 : 10,298,982 = 10,298,982 : x
  2. Step 2: Convert to fraction form
    4,771,144.50/10,298,982 = 10,298,982/x
  3. Step 3: Cross multiply
    4,771,144.50x = 10,298,982 × 10,298,982
  4. Step 4: Simplify right side
    4,771,144.50x = 106,069,030,236,324
  5. Step 5: Solve for x
    x = 106,069,030,236,324/4,771,144.50
  6. Step 6: Final answer
    x = 22,231,359.84

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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.