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Finding the Third Proportional to 27,022,084.50 and 41,825,646

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Solution

The third proportional to 27,022,084.50 and 41,825,646 is: 64,739,071.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,022,084.50 : 41,825,646 = 41,825,646 : x
  2. Step 2: Convert to fraction form
    27,022,084.50/41,825,646 = 41,825,646/x
  3. Step 3: Cross multiply
    27,022,084.50x = 41,825,646 × 41,825,646
  4. Step 4: Simplify right side
    27,022,084.50x = 1,749,384,663,317,316
  5. Step 5: Solve for x
    x = 1,749,384,663,317,316/27,022,084.50
  6. Step 6: Final answer
    x = 64,739,071.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.