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Finding the Third Proportional to 2,005,527,096 and 4,398,475,248

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Solution

The third proportional to 2,005,527,096 and 4,398,475,248 is: 9,646,633,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,527,096 : 4,398,475,248 = 4,398,475,248 : x
  2. Step 2: Convert to fraction form
    2,005,527,096/4,398,475,248 = 4,398,475,248/x
  3. Step 3: Cross multiply
    2,005,527,096x = 4,398,475,248 × 4,398,475,248
  4. Step 4: Simplify right side
    2,005,527,096x = 19,346,584,507,268,661,248
  5. Step 5: Solve for x
    x = 19,346,584,507,268,661,248/2,005,527,096
  6. Step 6: Final answer
    x = 9,646,633,319.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.