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Finding the Third Proportional to 4,277,379,744 and 6,806,152,224

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Solution

The third proportional to 4,277,379,744 and 6,806,152,224 is: 10,829,926,466.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277,379,744 : 6,806,152,224 = 6,806,152,224 : x
  2. Step 2: Convert to fraction form
    4,277,379,744/6,806,152,224 = 6,806,152,224/x
  3. Step 3: Cross multiply
    4,277,379,744x = 6,806,152,224 × 6,806,152,224
  4. Step 4: Simplify right side
    4,277,379,744x = 46,323,708,096,260,145,152
  5. Step 5: Solve for x
    x = 46,323,708,096,260,145,152/4,277,379,744
  6. Step 6: Final answer
    x = 10,829,926,466.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.