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Finding the Third Proportional to 9,345,523,601 and 20,108,468,426

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Solution

The third proportional to 9,345,523,601 and 20,108,468,426 is: 43,266,757,402.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345,523,601 : 20,108,468,426 = 20,108,468,426 : x
  2. Step 2: Convert to fraction form
    9,345,523,601/20,108,468,426 = 20,108,468,426/x
  3. Step 3: Cross multiply
    9,345,523,601x = 20,108,468,426 × 20,108,468,426
  4. Step 4: Simplify right side
    9,345,523,601x = 404,350,502,439,438,909,440
  5. Step 5: Solve for x
    x = 404,350,502,439,438,909,440/9,345,523,601
  6. Step 6: Final answer
    x = 43,266,757,402.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.