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Finding the Third Proportional to 5,210,210 and 7,869,760

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Solution

The third proportional to 5,210,210 and 7,869,760 is: 11,886,876.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210,210 : 7,869,760 = 7,869,760 : x
  2. Step 2: Convert to fraction form
    5,210,210/7,869,760 = 7,869,760/x
  3. Step 3: Cross multiply
    5,210,210x = 7,869,760 × 7,869,760
  4. Step 4: Simplify right side
    5,210,210x = 61,933,122,457,600
  5. Step 5: Solve for x
    x = 61,933,122,457,600/5,210,210
  6. Step 6: Final answer
    x = 11,886,876.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.