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Finding the Third Proportional to 462,431,206 and 668,133,210

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Solution

The third proportional to 462,431,206 and 668,133,210 is: 965,337,071.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,431,206 : 668,133,210 = 668,133,210 : x
  2. Step 2: Convert to fraction form
    462,431,206/668,133,210 = 668,133,210/x
  3. Step 3: Cross multiply
    462,431,206x = 668,133,210 × 668,133,210
  4. Step 4: Simplify right side
    462,431,206x = 446,401,986,304,904,128
  5. Step 5: Solve for x
    x = 446,401,986,304,904,128/462,431,206
  6. Step 6: Final answer
    x = 965,337,071.79

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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.