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Finding the Third Proportional to 11,584,782 and 15,733,632.38

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Solution

The third proportional to 11,584,782 and 15,733,632.38 is: 21,368,307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584,782 : 15,733,632.38 = 15,733,632.38 : x
  2. Step 2: Convert to fraction form
    11,584,782/15,733,632.38 = 15,733,632.38/x
  3. Step 3: Cross multiply
    11,584,782x = 15,733,632.38 × 15,733,632.38
  4. Step 4: Simplify right side
    11,584,782x = 247,547,187,711,648.12
  5. Step 5: Solve for x
    x = 247,547,187,711,648.12/11,584,782
  6. Step 6: Final answer
    x = 21,368,307.81

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.