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Finding the Third Proportional to 5,971,573.69 and 9,006,851.53

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Solution

The third proportional to 5,971,573.69 and 9,006,851.53 is: 13,584,923.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971,573.69 : 9,006,851.53 = 9,006,851.53 : x
  2. Step 2: Convert to fraction form
    5,971,573.69/9,006,851.53 = 9,006,851.53/x
  3. Step 3: Cross multiply
    5,971,573.69x = 9,006,851.53 × 9,006,851.53
  4. Step 4: Simplify right side
    5,971,573.69x = 81,123,374,505,980.47
  5. Step 5: Solve for x
    x = 81,123,374,505,980.47/5,971,573.69
  6. Step 6: Final answer
    x = 13,584,923.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.