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Finding the Third Proportional to 3,277,386,734 and 4,791,653,985

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Solution

The third proportional to 3,277,386,734 and 4,791,653,985 is: 7,005,565,645.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277,386,734 : 4,791,653,985 = 4,791,653,985 : x
  2. Step 2: Convert to fraction form
    3,277,386,734/4,791,653,985 = 4,791,653,985/x
  3. Step 3: Cross multiply
    3,277,386,734x = 4,791,653,985 × 4,791,653,985
  4. Step 4: Simplify right side
    3,277,386,734x = 22,959,947,911,966,380,032
  5. Step 5: Solve for x
    x = 22,959,947,911,966,380,032/3,277,386,734
  6. Step 6: Final answer
    x = 7,005,565,645.88

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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.