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Finding the Third Proportional to 283,751,098 and 427,656,224

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Solution

The third proportional to 283,751,098 and 427,656,224 is: 644,543,218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,751,098 : 427,656,224 = 427,656,224 : x
  2. Step 2: Convert to fraction form
    283,751,098/427,656,224 = 427,656,224/x
  3. Step 3: Cross multiply
    283,751,098x = 427,656,224 × 427,656,224
  4. Step 4: Simplify right side
    283,751,098x = 182,889,845,925,938,176
  5. Step 5: Solve for x
    x = 182,889,845,925,938,176/283,751,098
  6. Step 6: Final answer
    x = 644,543,218.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.