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Finding the Third Proportional to 14,904,765 and 31,934,322

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Solution

The third proportional to 14,904,765 and 31,934,322 is: 68,421,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,904,765 : 31,934,322 = 31,934,322 : x
  2. Step 2: Convert to fraction form
    14,904,765/31,934,322 = 31,934,322/x
  3. Step 3: Cross multiply
    14,904,765x = 31,934,322 × 31,934,322
  4. Step 4: Simplify right side
    14,904,765x = 1,019,800,921,599,684
  5. Step 5: Solve for x
    x = 1,019,800,921,599,684/14,904,765
  6. Step 6: Final answer
    x = 68,421,133.89

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Why These Related Problems?

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