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Finding the Third Proportional to 435,336,049.13 and 947,198,235.38

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Solution

The third proportional to 435,336,049.13 and 947,198,235.38 is: 2,060,900,995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,336,049.13 : 947,198,235.38 = 947,198,235.38 : x
  2. Step 2: Convert to fraction form
    435,336,049.13/947,198,235.38 = 947,198,235.38/x
  3. Step 3: Cross multiply
    435,336,049.13x = 947,198,235.38 × 947,198,235.38
  4. Step 4: Simplify right side
    435,336,049.13x = 897,184,497,097,513,856
  5. Step 5: Solve for x
    x = 897,184,497,097,513,856/435,336,049.13
  6. Step 6: Final answer
    x = 2,060,900,995.68

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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.