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Finding the Third Proportional to 738,076,079.25 and 1,505,846,406.38

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Solution

The third proportional to 738,076,079.25 and 1,505,846,406.38 is: 3,072,275,966.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,076,079.25 : 1,505,846,406.38 = 1,505,846,406.38 : x
  2. Step 2: Convert to fraction form
    738,076,079.25/1,505,846,406.38 = 1,505,846,406.38/x
  3. Step 3: Cross multiply
    738,076,079.25x = 1,505,846,406.38 × 1,505,846,406.38
  4. Step 4: Simplify right side
    738,076,079.25x = 2,267,573,399,592,501,760
  5. Step 5: Solve for x
    x = 2,267,573,399,592,501,760/738,076,079.25
  6. Step 6: Final answer
    x = 3,072,275,966.32

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.