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Finding the Third Proportional to 7,860,431 and 16,983,035

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Solution

The third proportional to 7,860,431 and 16,983,035 is: 36,693,086.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860,431 : 16,983,035 = 16,983,035 : x
  2. Step 2: Convert to fraction form
    7,860,431/16,983,035 = 16,983,035/x
  3. Step 3: Cross multiply
    7,860,431x = 16,983,035 × 16,983,035
  4. Step 4: Simplify right side
    7,860,431x = 288,423,477,811,225
  5. Step 5: Solve for x
    x = 288,423,477,811,225/7,860,431
  6. Step 6: Final answer
    x = 36,693,086.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.