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Finding the Third Proportional to 3,097,459 and 6,643,320

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Solution

The third proportional to 3,097,459 and 6,643,320 is: 14,248,356.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,459 : 6,643,320 = 6,643,320 : x
  2. Step 2: Convert to fraction form
    3,097,459/6,643,320 = 6,643,320/x
  3. Step 3: Cross multiply
    3,097,459x = 6,643,320 × 6,643,320
  4. Step 4: Simplify right side
    3,097,459x = 44,133,700,622,400
  5. Step 5: Solve for x
    x = 44,133,700,622,400/3,097,459
  6. Step 6: Final answer
    x = 14,248,356.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.