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Finding the Third Proportional to 6,460,677,200 and 14,023,983,744

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Solution

The third proportional to 6,460,677,200 and 14,023,983,744 is: 30,441,409,462.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460,677,200 : 14,023,983,744 = 14,023,983,744 : x
  2. Step 2: Convert to fraction form
    6,460,677,200/14,023,983,744 = 14,023,983,744/x
  3. Step 3: Cross multiply
    6,460,677,200x = 14,023,983,744 × 14,023,983,744
  4. Step 4: Simplify right side
    6,460,677,200x = 196,672,120,051,976,241,152
  5. Step 5: Solve for x
    x = 196,672,120,051,976,241,152/6,460,677,200
  6. Step 6: Final answer
    x = 30,441,409,462.77

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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.