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Finding the Third Proportional to 6,136,840 and 9,205,260

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Solution

The third proportional to 6,136,840 and 9,205,260 is: 13,807,890

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136,840 : 9,205,260 = 9,205,260 : x
  2. Step 2: Convert to fraction form
    6,136,840/9,205,260 = 9,205,260/x
  3. Step 3: Cross multiply
    6,136,840x = 9,205,260 × 9,205,260
  4. Step 4: Simplify right side
    6,136,840x = 84,736,811,667,600
  5. Step 5: Solve for x
    x = 84,736,811,667,600/6,136,840
  6. Step 6: Final answer
    x = 13,807,890

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.