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Finding the Third Proportional to 3,646,036.50 and 7,964,784

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Solution

The third proportional to 3,646,036.50 and 7,964,784 is: 17,399,108.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646,036.50 : 7,964,784 = 7,964,784 : x
  2. Step 2: Convert to fraction form
    3,646,036.50/7,964,784 = 7,964,784/x
  3. Step 3: Cross multiply
    3,646,036.50x = 7,964,784 × 7,964,784
  4. Step 4: Simplify right side
    3,646,036.50x = 63,437,784,166,656
  5. Step 5: Solve for x
    x = 63,437,784,166,656/3,646,036.50
  6. Step 6: Final answer
    x = 17,399,108.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.