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Finding the Third Proportional to 233,214,336 and 510,361,344

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Solution

The third proportional to 233,214,336 and 510,361,344 is: 1,116,864,022.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,214,336 : 510,361,344 = 510,361,344 : x
  2. Step 2: Convert to fraction form
    233,214,336/510,361,344 = 510,361,344/x
  3. Step 3: Cross multiply
    233,214,336x = 510,361,344 × 510,361,344
  4. Step 4: Simplify right side
    233,214,336x = 260,468,701,449,486,336
  5. Step 5: Solve for x
    x = 260,468,701,449,486,336/233,214,336
  6. Step 6: Final answer
    x = 1,116,864,022.67

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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.