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Finding the Third Proportional to 6,205,230,288 and 8,707,166,479

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Solution

The third proportional to 6,205,230,288 and 8,707,166,479 is: 12,217,878,237.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205,230,288 : 8,707,166,479 = 8,707,166,479 : x
  2. Step 2: Convert to fraction form
    6,205,230,288/8,707,166,479 = 8,707,166,479/x
  3. Step 3: Cross multiply
    6,205,230,288x = 8,707,166,479 × 8,707,166,479
  4. Step 4: Simplify right side
    6,205,230,288x = 75,814,748,093,021,257,728
  5. Step 5: Solve for x
    x = 75,814,748,093,021,257,728/6,205,230,288
  6. Step 6: Final answer
    x = 12,217,878,237.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.