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Finding the Third Proportional to 409,861,416 and 633,944,421

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Solution

The third proportional to 409,861,416 and 633,944,421 is: 980,540,039.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,861,416 : 633,944,421 = 633,944,421 : x
  2. Step 2: Convert to fraction form
    409,861,416/633,944,421 = 633,944,421/x
  3. Step 3: Cross multiply
    409,861,416x = 633,944,421 × 633,944,421
  4. Step 4: Simplify right side
    409,861,416x = 401,885,528,917,025,216
  5. Step 5: Solve for x
    x = 401,885,528,917,025,216/409,861,416
  6. Step 6: Final answer
    x = 980,540,039.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.