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Finding the Third Proportional to 923,509,576.13 and 1,431,185,565.94

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Solution

The third proportional to 923,509,576.13 and 1,431,185,565.94 is: 2,217,943,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,509,576.13 : 1,431,185,565.94 = 1,431,185,565.94 : x
  2. Step 2: Convert to fraction form
    923,509,576.13/1,431,185,565.94 = 1,431,185,565.94/x
  3. Step 3: Cross multiply
    923,509,576.13x = 1,431,185,565.94 × 1,431,185,565.94
  4. Step 4: Simplify right side
    923,509,576.13x = 2,048,292,124,147,842,048
  5. Step 5: Solve for x
    x = 2,048,292,124,147,842,048/923,509,576.13
  6. Step 6: Final answer
    x = 2,217,943,567.78

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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.