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Finding the Third Proportional to 3,277,386,736 and 4,791,653,988

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Solution

The third proportional to 3,277,386,736 and 4,791,653,988 is: 7,005,565,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277,386,736 : 4,791,653,988 = 4,791,653,988 : x
  2. Step 2: Convert to fraction form
    3,277,386,736/4,791,653,988 = 4,791,653,988/x
  3. Step 3: Cross multiply
    3,277,386,736x = 4,791,653,988 × 4,791,653,988
  4. Step 4: Simplify right side
    3,277,386,736x = 22,959,947,940,716,302,336
  5. Step 5: Solve for x
    x = 22,959,947,940,716,302,336/3,277,386,736
  6. Step 6: Final answer
    x = 7,005,565,650.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.