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Finding the Third Proportional to 9,325,248,570 and 20,284,379,280

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Solution

The third proportional to 9,325,248,570 and 20,284,379,280 is: 44,122,796,265.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,325,248,570 : 20,284,379,280 = 20,284,379,280 : x
  2. Step 2: Convert to fraction form
    9,325,248,570/20,284,379,280 = 20,284,379,280/x
  3. Step 3: Cross multiply
    9,325,248,570x = 20,284,379,280 × 20,284,379,280
  4. Step 4: Simplify right side
    9,325,248,570x = 411,456,042,774,893,297,664
  5. Step 5: Solve for x
    x = 411,456,042,774,893,297,664/9,325,248,570
  6. Step 6: Final answer
    x = 44,122,796,265.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.