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Finding the Third Proportional to 9,819,470.53 and 21,338,650.13

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Solution

The third proportional to 9,819,470.53 and 21,338,650.13 is: 46,370,930.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819,470.53 : 21,338,650.13 = 21,338,650.13 : x
  2. Step 2: Convert to fraction form
    9,819,470.53/21,338,650.13 = 21,338,650.13/x
  3. Step 3: Cross multiply
    9,819,470.53x = 21,338,650.13 × 21,338,650.13
  4. Step 4: Simplify right side
    9,819,470.53x = 455,337,989,157,162.50
  5. Step 5: Solve for x
    x = 455,337,989,157,162.50/9,819,470.53
  6. Step 6: Final answer
    x = 46,370,930.87

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