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Finding the Third Proportional to 302,237,544 and 640,795,650

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Solution

The third proportional to 302,237,544 and 640,795,650 is: 1,358,597,147.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,237,544 : 640,795,650 = 640,795,650 : x
  2. Step 2: Convert to fraction form
    302,237,544/640,795,650 = 640,795,650/x
  3. Step 3: Cross multiply
    302,237,544x = 640,795,650 × 640,795,650
  4. Step 4: Simplify right side
    302,237,544x = 410,619,065,058,922,496
  5. Step 5: Solve for x
    x = 410,619,065,058,922,496/302,237,544
  6. Step 6: Final answer
    x = 1,358,597,147.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.