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Finding the Third Proportional to 5,102,564 and 7,352,032

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Solution

The third proportional to 5,102,564 and 7,352,032 is: 10,593,179.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,102,564 : 7,352,032 = 7,352,032 : x
  2. Step 2: Convert to fraction form
    5,102,564/7,352,032 = 7,352,032/x
  3. Step 3: Cross multiply
    5,102,564x = 7,352,032 × 7,352,032
  4. Step 4: Simplify right side
    5,102,564x = 54,052,374,529,024
  5. Step 5: Solve for x
    x = 54,052,374,529,024/5,102,564
  6. Step 6: Final answer
    x = 10,593,179.14

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.