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Finding the Third Proportional to 3,097,684 and 6,710,102

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Solution

The third proportional to 3,097,684 and 6,710,102 is: 14,535,203.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,684 : 6,710,102 = 6,710,102 : x
  2. Step 2: Convert to fraction form
    3,097,684/6,710,102 = 6,710,102/x
  3. Step 3: Cross multiply
    3,097,684x = 6,710,102 × 6,710,102
  4. Step 4: Simplify right side
    3,097,684x = 45,025,468,850,404
  5. Step 5: Solve for x
    x = 45,025,468,850,404/3,097,684
  6. Step 6: Final answer
    x = 14,535,203.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.