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Finding the Third Proportional to 987,345,072 and 2,056,412,114.25

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Solution

The third proportional to 987,345,072 and 2,056,412,114.25 is: 4,283,032,248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    987,345,072 : 2,056,412,114.25 = 2,056,412,114.25 : x
  2. Step 2: Convert to fraction form
    987,345,072/2,056,412,114.25 = 2,056,412,114.25/x
  3. Step 3: Cross multiply
    987,345,072x = 2,056,412,114.25 × 2,056,412,114.25
  4. Step 4: Simplify right side
    987,345,072x = 4,228,830,783,634,155,008
  5. Step 5: Solve for x
    x = 4,228,830,783,634,155,008/987,345,072
  6. Step 6: Final answer
    x = 4,283,032,248.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.