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Finding the Third Proportional to 7,669,216.69 and 16,781,645.81

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Solution

The third proportional to 7,669,216.69 and 16,781,645.81 is: 36,721,303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669,216.69 : 16,781,645.81 = 16,781,645.81 : x
  2. Step 2: Convert to fraction form
    7,669,216.69/16,781,645.81 = 16,781,645.81/x
  3. Step 3: Cross multiply
    7,669,216.69x = 16,781,645.81 × 16,781,645.81
  4. Step 4: Simplify right side
    7,669,216.69x = 281,623,636,176,198.81
  5. Step 5: Solve for x
    x = 281,623,636,176,198.81/7,669,216.69
  6. Step 6: Final answer
    x = 36,721,303.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.