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Finding the Third Proportional to 8,119,032 and 17,462,784

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Solution

The third proportional to 8,119,032 and 17,462,784 is: 37,559,751.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119,032 : 17,462,784 = 17,462,784 : x
  2. Step 2: Convert to fraction form
    8,119,032/17,462,784 = 17,462,784/x
  3. Step 3: Cross multiply
    8,119,032x = 17,462,784 × 17,462,784
  4. Step 4: Simplify right side
    8,119,032x = 304,948,825,030,656
  5. Step 5: Solve for x
    x = 304,948,825,030,656/8,119,032
  6. Step 6: Final answer
    x = 37,559,751.58

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.