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Finding the Third Proportional to 11,086,590 and 23,705,316

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Solution

The third proportional to 11,086,590 and 23,705,316 is: 50,686,640.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,086,590 : 23,705,316 = 23,705,316 : x
  2. Step 2: Convert to fraction form
    11,086,590/23,705,316 = 23,705,316/x
  3. Step 3: Cross multiply
    11,086,590x = 23,705,316 × 23,705,316
  4. Step 4: Simplify right side
    11,086,590x = 561,942,006,659,856
  5. Step 5: Solve for x
    x = 561,942,006,659,856/11,086,590
  6. Step 6: Final answer
    x = 50,686,640.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.