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Finding the Third Proportional to 527,324,022 and 1,114,435,034

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Solution

The third proportional to 527,324,022 and 1,114,435,034 is: 2,355,222,582.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,324,022 : 1,114,435,034 = 1,114,435,034 : x
  2. Step 2: Convert to fraction form
    527,324,022/1,114,435,034 = 1,114,435,034/x
  3. Step 3: Cross multiply
    527,324,022x = 1,114,435,034 × 1,114,435,034
  4. Step 4: Simplify right side
    527,324,022x = 1,241,965,445,006,581,248
  5. Step 5: Solve for x
    x = 1,241,965,445,006,581,248/527,324,022
  6. Step 6: Final answer
    x = 2,355,222,582.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.