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Finding the Third Proportional to 7,656,153 and 16,703,201

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Solution

The third proportional to 7,656,153 and 16,703,201 is: 36,440,876.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656,153 : 16,703,201 = 16,703,201 : x
  2. Step 2: Convert to fraction form
    7,656,153/16,703,201 = 16,703,201/x
  3. Step 3: Cross multiply
    7,656,153x = 16,703,201 × 16,703,201
  4. Step 4: Simplify right side
    7,656,153x = 278,996,923,646,401
  5. Step 5: Solve for x
    x = 278,996,923,646,401/7,656,153
  6. Step 6: Final answer
    x = 36,440,876.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.