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Finding the Third Proportional to 462,431,210 and 668,133,216

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Solution

The third proportional to 462,431,210 and 668,133,216 is: 965,337,080.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,431,210 : 668,133,216 = 668,133,216 : x
  2. Step 2: Convert to fraction form
    462,431,210/668,133,216 = 668,133,216/x
  3. Step 3: Cross multiply
    462,431,210x = 668,133,216 × 668,133,216
  4. Step 4: Simplify right side
    462,431,210x = 446,401,994,322,502,656
  5. Step 5: Solve for x
    x = 446,401,994,322,502,656/462,431,210
  6. Step 6: Final answer
    x = 965,337,080.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.