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Finding the Third Proportional to 5,685,216 and 7,511,760

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Solution

The third proportional to 5,685,216 and 7,511,760 is: 9,925,135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685,216 : 7,511,760 = 7,511,760 : x
  2. Step 2: Convert to fraction form
    5,685,216/7,511,760 = 7,511,760/x
  3. Step 3: Cross multiply
    5,685,216x = 7,511,760 × 7,511,760
  4. Step 4: Simplify right side
    5,685,216x = 56,426,538,297,600
  5. Step 5: Solve for x
    x = 56,426,538,297,600/5,685,216
  6. Step 6: Final answer
    x = 9,925,135.35

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.