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Finding the Third Proportional to 326,829,972 and 700,286,464

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Solution

The third proportional to 326,829,972 and 700,286,464 is: 1,500,477,843.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,829,972 : 700,286,464 = 700,286,464 : x
  2. Step 2: Convert to fraction form
    326,829,972/700,286,464 = 700,286,464/x
  3. Step 3: Cross multiply
    326,829,972x = 700,286,464 × 700,286,464
  4. Step 4: Simplify right side
    326,829,972x = 490,401,131,661,623,296
  5. Step 5: Solve for x
    x = 490,401,131,661,623,296/326,829,972
  6. Step 6: Final answer
    x = 1,500,477,843.76

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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.