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Finding the Third Proportional to 9,935,113,460 and 20,162,165,175

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Solution

The third proportional to 9,935,113,460 and 20,162,165,175 is: 40,916,785,317.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935,113,460 : 20,162,165,175 = 20,162,165,175 : x
  2. Step 2: Convert to fraction form
    9,935,113,460/20,162,165,175 = 20,162,165,175/x
  3. Step 3: Cross multiply
    9,935,113,460x = 20,162,165,175 × 20,162,165,175
  4. Step 4: Simplify right side
    9,935,113,460x = 406,512,904,543,982,780,416
  5. Step 5: Solve for x
    x = 406,512,904,543,982,780,416/9,935,113,460
  6. Step 6: Final answer
    x = 40,916,785,317.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.