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Finding the Third Proportional to 2,162,601,904 and 3,350,154,296

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Solution

The third proportional to 2,162,601,904 and 3,350,154,296 is: 5,189,828,875.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162,601,904 : 3,350,154,296 = 3,350,154,296 : x
  2. Step 2: Convert to fraction form
    2,162,601,904/3,350,154,296 = 3,350,154,296/x
  3. Step 3: Cross multiply
    2,162,601,904x = 3,350,154,296 × 3,350,154,296
  4. Step 4: Simplify right side
    2,162,601,904x = 11,223,533,807,007,256,576
  5. Step 5: Solve for x
    x = 11,223,533,807,007,256,576/2,162,601,904
  6. Step 6: Final answer
    x = 5,189,828,875.23

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