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Finding the Third Proportional to 284,557,059 and 634,543,007

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Solution

The third proportional to 284,557,059 and 634,543,007 is: 1,414,988,013.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,557,059 : 634,543,007 = 634,543,007 : x
  2. Step 2: Convert to fraction form
    284,557,059/634,543,007 = 634,543,007/x
  3. Step 3: Cross multiply
    284,557,059x = 634,543,007 × 634,543,007
  4. Step 4: Simplify right side
    284,557,059x = 402,644,827,732,602,048
  5. Step 5: Solve for x
    x = 402,644,827,732,602,048/284,557,059
  6. Step 6: Final answer
    x = 1,414,988,013.82

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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.