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Finding the Third Proportional to 9,839,866.39 and 21,352,317.93

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Solution

The third proportional to 9,839,866.39 and 21,352,317.93 is: 46,334,112.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839,866.39 : 21,352,317.93 = 21,352,317.93 : x
  2. Step 2: Convert to fraction form
    9,839,866.39/21,352,317.93 = 21,352,317.93/x
  3. Step 3: Cross multiply
    9,839,866.39x = 21,352,317.93 × 21,352,317.93
  4. Step 4: Simplify right side
    9,839,866.39x = 455,921,480,803,628.62
  5. Step 5: Solve for x
    x = 455,921,480,803,628.62/9,839,866.39
  6. Step 6: Final answer
    x = 46,334,112.94

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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.