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Finding the Third Proportional to 9,345,523,599 and 20,108,468,424

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Solution

The third proportional to 9,345,523,599 and 20,108,468,424 is: 43,266,757,402.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,345,523,599 : 20,108,468,424 = 20,108,468,424 : x
  2. Step 2: Convert to fraction form
    9,345,523,599/20,108,468,424 = 20,108,468,424/x
  3. Step 3: Cross multiply
    9,345,523,599x = 20,108,468,424 × 20,108,468,424
  4. Step 4: Simplify right side
    9,345,523,599x = 404,350,502,359,005,069,312
  5. Step 5: Solve for x
    x = 404,350,502,359,005,069,312/9,345,523,599
  6. Step 6: Final answer
    x = 43,266,757,402.69

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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.