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Finding the Third Proportional to 3,046,515,743 and 6,633,877,814

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Solution

The third proportional to 3,046,515,743 and 6,633,877,814 is: 14,445,464,446.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046,515,743 : 6,633,877,814 = 6,633,877,814 : x
  2. Step 2: Convert to fraction form
    3,046,515,743/6,633,877,814 = 6,633,877,814/x
  3. Step 3: Cross multiply
    3,046,515,743x = 6,633,877,814 × 6,633,877,814
  4. Step 4: Simplify right side
    3,046,515,743x = 44,008,334,851,081,420,800
  5. Step 5: Solve for x
    x = 44,008,334,851,081,420,800/3,046,515,743
  6. Step 6: Final answer
    x = 14,445,464,446.46

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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.