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Finding the Third Proportional to 283,418,001 and 423,651,505.50

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Solution

The third proportional to 283,418,001 and 423,651,505.50 is: 633,271,695.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,418,001 : 423,651,505.50 = 423,651,505.50 : x
  2. Step 2: Convert to fraction form
    283,418,001/423,651,505.50 = 423,651,505.50/x
  3. Step 3: Cross multiply
    283,418,001x = 423,651,505.50 × 423,651,505.50
  4. Step 4: Simplify right side
    283,418,001x = 179,480,598,112,416,544
  5. Step 5: Solve for x
    x = 179,480,598,112,416,544/283,418,001
  6. Step 6: Final answer
    x = 633,271,695.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.