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Finding the Third Proportional to 3,046,515,747 and 6,633,877,822

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Solution

The third proportional to 3,046,515,747 and 6,633,877,822 is: 14,445,464,462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046,515,747 : 6,633,877,822 = 6,633,877,822 : x
  2. Step 2: Convert to fraction form
    3,046,515,747/6,633,877,822 = 6,633,877,822/x
  3. Step 3: Cross multiply
    3,046,515,747x = 6,633,877,822 × 6,633,877,822
  4. Step 4: Simplify right side
    3,046,515,747x = 44,008,334,957,223,460,864
  5. Step 5: Solve for x
    x = 44,008,334,957,223,460,864/3,046,515,747
  6. Step 6: Final answer
    x = 14,445,464,462.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.