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Finding the Third Proportional to 5,824,117.69 and 9,136,807.59

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Solution

The third proportional to 5,824,117.69 and 9,136,807.59 is: 14,333,716.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824,117.69 : 9,136,807.59 = 9,136,807.59 : x
  2. Step 2: Convert to fraction form
    5,824,117.69/9,136,807.59 = 9,136,807.59/x
  3. Step 3: Cross multiply
    5,824,117.69x = 9,136,807.59 × 9,136,807.59
  4. Step 4: Simplify right side
    5,824,117.69x = 83,481,253,005,207.67
  5. Step 5: Solve for x
    x = 83,481,253,005,207.67/5,824,117.69
  6. Step 6: Final answer
    x = 14,333,716.71

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.