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Finding the Third Proportional to 5,112,025 and 10,942,160

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Solution

The third proportional to 5,112,025 and 10,942,160 is: 23,421,416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112,025 : 10,942,160 = 10,942,160 : x
  2. Step 2: Convert to fraction form
    5,112,025/10,942,160 = 10,942,160/x
  3. Step 3: Cross multiply
    5,112,025x = 10,942,160 × 10,942,160
  4. Step 4: Simplify right side
    5,112,025x = 119,730,865,465,600
  5. Step 5: Solve for x
    x = 119,730,865,465,600/5,112,025
  6. Step 6: Final answer
    x = 23,421,416.26

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.