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Finding the Third Proportional to 1,441,413,703 and 2,246,393,364

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Solution

The third proportional to 1,441,413,703 and 2,246,393,364 is: 3,500,926,302.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441,413,703 : 2,246,393,364 = 2,246,393,364 : x
  2. Step 2: Convert to fraction form
    1,441,413,703/2,246,393,364 = 2,246,393,364/x
  3. Step 3: Cross multiply
    1,441,413,703x = 2,246,393,364 × 2,246,393,364
  4. Step 4: Simplify right side
    1,441,413,703x = 5,046,283,145,823,236,096
  5. Step 5: Solve for x
    x = 5,046,283,145,823,236,096/1,441,413,703
  6. Step 6: Final answer
    x = 3,500,926,302.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.