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Finding the Third Proportional to 284,557,062 and 634,543,013

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Solution

The third proportional to 284,557,062 and 634,543,013 is: 1,414,988,025.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,557,062 : 634,543,013 = 634,543,013 : x
  2. Step 2: Convert to fraction form
    284,557,062/634,543,013 = 634,543,013/x
  3. Step 3: Cross multiply
    284,557,062x = 634,543,013 × 634,543,013
  4. Step 4: Simplify right side
    284,557,062x = 402,644,835,347,118,144
  5. Step 5: Solve for x
    x = 402,644,835,347,118,144/284,557,062
  6. Step 6: Final answer
    x = 1,414,988,025.66

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.