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Finding the Third Proportional to 8,415,600 and 11,908,008

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Solution

The third proportional to 8,415,600 and 11,908,008 is: 16,849,737.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,415,600 : 11,908,008 = 11,908,008 : x
  2. Step 2: Convert to fraction form
    8,415,600/11,908,008 = 11,908,008/x
  3. Step 3: Cross multiply
    8,415,600x = 11,908,008 × 11,908,008
  4. Step 4: Simplify right side
    8,415,600x = 141,800,654,528,064
  5. Step 5: Solve for x
    x = 141,800,654,528,064/8,415,600
  6. Step 6: Final answer
    x = 16,849,737.93

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.