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Finding the Third Proportional to 242,453,544 and 531,847,344

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Solution

The third proportional to 242,453,544 and 531,847,344 is: 1,166,663,075.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,453,544 : 531,847,344 = 531,847,344 : x
  2. Step 2: Convert to fraction form
    242,453,544/531,847,344 = 531,847,344/x
  3. Step 3: Cross multiply
    242,453,544x = 531,847,344 × 531,847,344
  4. Step 4: Simplify right side
    242,453,544x = 282,861,597,319,854,336
  5. Step 5: Solve for x
    x = 282,861,597,319,854,336/242,453,544
  6. Step 6: Final answer
    x = 1,166,663,075.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.