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Finding the Third Proportional to 3,664,617.50 and 7,816,175.68

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Solution

The third proportional to 3,664,617.50 and 7,816,175.68 is: 16,670,935.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664,617.50 : 7,816,175.68 = 7,816,175.68 : x
  2. Step 2: Convert to fraction form
    3,664,617.50/7,816,175.68 = 7,816,175.68/x
  3. Step 3: Cross multiply
    3,664,617.50x = 7,816,175.68 × 7,816,175.68
  4. Step 4: Simplify right side
    3,664,617.50x = 61,092,602,316,803.01
  5. Step 5: Solve for x
    x = 61,092,602,316,803.01/3,664,617.50
  6. Step 6: Final answer
    x = 16,670,935.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.