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Finding the Third Proportional to 8,122,576 and 10,781,968

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Solution

The third proportional to 8,122,576 and 10,781,968 is: 14,312,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122,576 : 10,781,968 = 10,781,968 : x
  2. Step 2: Convert to fraction form
    8,122,576/10,781,968 = 10,781,968/x
  3. Step 3: Cross multiply
    8,122,576x = 10,781,968 × 10,781,968
  4. Step 4: Simplify right side
    8,122,576x = 116,250,833,953,024
  5. Step 5: Solve for x
    x = 116,250,833,953,024/8,122,576
  6. Step 6: Final answer
    x = 14,312,064.79

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.