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Finding the Third Proportional to 7,733,896 and 11,595,480

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Solution

The third proportional to 7,733,896 and 11,595,480 is: 17,385,177.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733,896 : 11,595,480 = 11,595,480 : x
  2. Step 2: Convert to fraction form
    7,733,896/11,595,480 = 11,595,480/x
  3. Step 3: Cross multiply
    7,733,896x = 11,595,480 × 11,595,480
  4. Step 4: Simplify right side
    7,733,896x = 134,455,156,430,400
  5. Step 5: Solve for x
    x = 134,455,156,430,400/7,733,896
  6. Step 6: Final answer
    x = 17,385,177.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.