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Finding the Third Proportional to 8,260,032 and 17,715,784

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Solution

The third proportional to 8,260,032 and 17,715,784 is: 37,996,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,260,032 : 17,715,784 = 17,715,784 : x
  2. Step 2: Convert to fraction form
    8,260,032/17,715,784 = 17,715,784/x
  3. Step 3: Cross multiply
    8,260,032x = 17,715,784 × 17,715,784
  4. Step 4: Simplify right side
    8,260,032x = 313,849,002,734,656
  5. Step 5: Solve for x
    x = 313,849,002,734,656/8,260,032
  6. Step 6: Final answer
    x = 37,996,100.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.