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Finding the Third Proportional to 9,819,535.50 and 21,338,775

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Solution

The third proportional to 9,819,535.50 and 21,338,775 is: 46,371,166.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819,535.50 : 21,338,775 = 21,338,775 : x
  2. Step 2: Convert to fraction form
    9,819,535.50/21,338,775 = 21,338,775/x
  3. Step 3: Cross multiply
    9,819,535.50x = 21,338,775 × 21,338,775
  4. Step 4: Simplify right side
    9,819,535.50x = 455,343,318,500,625
  5. Step 5: Solve for x
    x = 455,343,318,500,625/9,819,535.50
  6. Step 6: Final answer
    x = 46,371,166.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.