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Finding the Third Proportional to 6,802,451 and 14,931,844

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Solution

The third proportional to 6,802,451 and 14,931,844 is: 32,776,416.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802,451 : 14,931,844 = 14,931,844 : x
  2. Step 2: Convert to fraction form
    6,802,451/14,931,844 = 14,931,844/x
  3. Step 3: Cross multiply
    6,802,451x = 14,931,844 × 14,931,844
  4. Step 4: Simplify right side
    6,802,451x = 222,959,965,240,336
  5. Step 5: Solve for x
    x = 222,959,965,240,336/6,802,451
  6. Step 6: Final answer
    x = 32,776,416.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.