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Finding the Third Proportional to 3,097,966 and 6,710,606

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Solution

The third proportional to 3,097,966 and 6,710,606 is: 14,536,064.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,966 : 6,710,606 = 6,710,606 : x
  2. Step 2: Convert to fraction form
    3,097,966/6,710,606 = 6,710,606/x
  3. Step 3: Cross multiply
    3,097,966x = 6,710,606 × 6,710,606
  4. Step 4: Simplify right side
    3,097,966x = 45,032,232,887,236
  5. Step 5: Solve for x
    x = 45,032,232,887,236/3,097,966
  6. Step 6: Final answer
    x = 14,536,064.27

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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.