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Finding the Third Proportional to 11,406,350 and 23,756,206

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Solution

The third proportional to 11,406,350 and 23,756,206 is: 49,477,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,406,350 : 23,756,206 = 23,756,206 : x
  2. Step 2: Convert to fraction form
    11,406,350/23,756,206 = 23,756,206/x
  3. Step 3: Cross multiply
    11,406,350x = 23,756,206 × 23,756,206
  4. Step 4: Simplify right side
    11,406,350x = 564,357,323,514,436
  5. Step 5: Solve for x
    x = 564,357,323,514,436/11,406,350
  6. Step 6: Final answer
    x = 49,477,468.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.