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Finding the Third Proportional to 6,460,677,204 and 14,023,983,752

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Solution

The third proportional to 6,460,677,204 and 14,023,983,752 is: 30,441,409,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460,677,204 : 14,023,983,752 = 14,023,983,752 : x
  2. Step 2: Convert to fraction form
    6,460,677,204/14,023,983,752 = 14,023,983,752/x
  3. Step 3: Cross multiply
    6,460,677,204x = 14,023,983,752 × 14,023,983,752
  4. Step 4: Simplify right side
    6,460,677,204x = 196,672,120,276,360,003,584
  5. Step 5: Solve for x
    x = 196,672,120,276,360,003,584/6,460,677,204
  6. Step 6: Final answer
    x = 30,441,409,478.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.