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Finding the Third Proportional to 35,981,921 and 52,623,396.50

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Solution

The third proportional to 35,981,921 and 52,623,396.50 is: 76,961,479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,981,921 : 52,623,396.50 = 52,623,396.50 : x
  2. Step 2: Convert to fraction form
    35,981,921/52,623,396.50 = 52,623,396.50/x
  3. Step 3: Cross multiply
    35,981,921x = 52,623,396.50 × 52,623,396.50
  4. Step 4: Simplify right side
    35,981,921x = 2,769,221,859,196,212
  5. Step 5: Solve for x
    x = 2,769,221,859,196,212/35,981,921
  6. Step 6: Final answer
    x = 76,961,479.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.