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Finding the Third Proportional to 4,505,990.63 and 9,683,677.69

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Solution

The third proportional to 4,505,990.63 and 9,683,677.69 is: 20,810,876.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505,990.63 : 9,683,677.69 = 9,683,677.69 : x
  2. Step 2: Convert to fraction form
    4,505,990.63/9,683,677.69 = 9,683,677.69/x
  3. Step 3: Cross multiply
    4,505,990.63x = 9,683,677.69 × 9,683,677.69
  4. Step 4: Simplify right side
    4,505,990.63x = 93,773,613,555,385.34
  5. Step 5: Solve for x
    x = 93,773,613,555,385.34/4,505,990.63
  6. Step 6: Final answer
    x = 20,810,876.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.