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Finding the Third Proportional to 7,733,078 and 11,362,917

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Solution

The third proportional to 7,733,078 and 11,362,917 is: 16,696,570.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733,078 : 11,362,917 = 11,362,917 : x
  2. Step 2: Convert to fraction form
    7,733,078/11,362,917 = 11,362,917/x
  3. Step 3: Cross multiply
    7,733,078x = 11,362,917 × 11,362,917
  4. Step 4: Simplify right side
    7,733,078x = 129,115,882,748,889
  5. Step 5: Solve for x
    x = 129,115,882,748,889/7,733,078
  6. Step 6: Final answer
    x = 16,696,570.60

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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.