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Finding the Third Proportional to 923,509,530 and 1,431,185,500.13

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Solution

The third proportional to 923,509,530 and 1,431,185,500.13 is: 2,217,943,474.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,509,530 : 1,431,185,500.13 = 1,431,185,500.13 : x
  2. Step 2: Convert to fraction form
    923,509,530/1,431,185,500.13 = 1,431,185,500.13/x
  3. Step 3: Cross multiply
    923,509,530x = 1,431,185,500.13 × 1,431,185,500.13
  4. Step 4: Simplify right side
    923,509,530x = 2,048,291,935,768,046,336
  5. Step 5: Solve for x
    x = 2,048,291,935,768,046,336/923,509,530
  6. Step 6: Final answer
    x = 2,217,943,474.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.