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Finding the Third Proportional to 6,962,175 and 10,643,373

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Solution

The third proportional to 6,962,175 and 10,643,373 is: 16,270,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962,175 : 10,643,373 = 10,643,373 : x
  2. Step 2: Convert to fraction form
    6,962,175/10,643,373 = 10,643,373/x
  3. Step 3: Cross multiply
    6,962,175x = 10,643,373 × 10,643,373
  4. Step 4: Simplify right side
    6,962,175x = 113,281,388,817,129
  5. Step 5: Solve for x
    x = 113,281,388,817,129/6,962,175
  6. Step 6: Final answer
    x = 16,270,976.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.