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Finding the Third Proportional to 3,097,709 and 6,710,161

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Solution

The third proportional to 3,097,709 and 6,710,161 is: 14,535,342.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,709 : 6,710,161 = 6,710,161 : x
  2. Step 2: Convert to fraction form
    3,097,709/6,710,161 = 6,710,161/x
  3. Step 3: Cross multiply
    3,097,709x = 6,710,161 × 6,710,161
  4. Step 4: Simplify right side
    3,097,709x = 45,026,260,645,921
  5. Step 5: Solve for x
    x = 45,026,260,645,921/3,097,709
  6. Step 6: Final answer
    x = 14,535,342.30

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Why These Related Problems?

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