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Finding the Third Proportional to 7,716,196 and 11,361,114

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Solution

The third proportional to 7,716,196 and 11,361,114 is: 16,727,790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716,196 : 11,361,114 = 11,361,114 : x
  2. Step 2: Convert to fraction form
    7,716,196/11,361,114 = 11,361,114/x
  3. Step 3: Cross multiply
    7,716,196x = 11,361,114 × 11,361,114
  4. Step 4: Simplify right side
    7,716,196x = 129,074,911,320,996
  5. Step 5: Solve for x
    x = 129,074,911,320,996/7,716,196
  6. Step 6: Final answer
    x = 16,727,790.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.