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Finding the Third Proportional to 796,397,167 and 1,107,326,602

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Solution

The third proportional to 796,397,167 and 1,107,326,602 is: 1,539,649,127.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,397,167 : 1,107,326,602 = 1,107,326,602 : x
  2. Step 2: Convert to fraction form
    796,397,167/1,107,326,602 = 1,107,326,602/x
  3. Step 3: Cross multiply
    796,397,167x = 1,107,326,602 × 1,107,326,602
  4. Step 4: Simplify right side
    796,397,167x = 1,226,172,203,496,866,304
  5. Step 5: Solve for x
    x = 1,226,172,203,496,866,304/796,397,167
  6. Step 6: Final answer
    x = 1,539,649,127.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.