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Finding the Third Proportional to 326,829,416 and 700,285,344

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Solution

The third proportional to 326,829,416 and 700,285,344 is: 1,500,475,596.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,829,416 : 700,285,344 = 700,285,344 : x
  2. Step 2: Convert to fraction form
    326,829,416/700,285,344 = 700,285,344/x
  3. Step 3: Cross multiply
    326,829,416x = 700,285,344 × 700,285,344
  4. Step 4: Simplify right side
    326,829,416x = 490,399,563,021,198,336
  5. Step 5: Solve for x
    x = 490,399,563,021,198,336/326,829,416
  6. Step 6: Final answer
    x = 1,500,475,596.79

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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.