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Finding the Third Proportional to 21,767,077.50 and 31,465,930.50

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Solution

The third proportional to 21,767,077.50 and 31,465,930.50 is: 45,486,344.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,767,077.50 : 31,465,930.50 = 31,465,930.50 : x
  2. Step 2: Convert to fraction form
    21,767,077.50/31,465,930.50 = 31,465,930.50/x
  3. Step 3: Cross multiply
    21,767,077.50x = 31,465,930.50 × 31,465,930.50
  4. Step 4: Simplify right side
    21,767,077.50x = 990,104,782,230,830.25
  5. Step 5: Solve for x
    x = 990,104,782,230,830.25/21,767,077.50
  6. Step 6: Final answer
    x = 45,486,344.33

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.