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Finding the Third Proportional to 5,471,394 and 8,210,007

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Solution

The third proportional to 5,471,394 and 8,210,007 is: 12,319,386.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471,394 : 8,210,007 = 8,210,007 : x
  2. Step 2: Convert to fraction form
    5,471,394/8,210,007 = 8,210,007/x
  3. Step 3: Cross multiply
    5,471,394x = 8,210,007 × 8,210,007
  4. Step 4: Simplify right side
    5,471,394x = 67,404,214,940,049
  5. Step 5: Solve for x
    x = 67,404,214,940,049/5,471,394
  6. Step 6: Final answer
    x = 12,319,386.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.