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Finding the Third Proportional to 668,652,635.25 and 1,013,076,321.75

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Solution

The third proportional to 668,652,635.25 and 1,013,076,321.75 is: 1,534,913,016.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,652,635.25 : 1,013,076,321.75 = 1,013,076,321.75 : x
  2. Step 2: Convert to fraction form
    668,652,635.25/1,013,076,321.75 = 1,013,076,321.75/x
  3. Step 3: Cross multiply
    668,652,635.25x = 1,013,076,321.75 × 1,013,076,321.75
  4. Step 4: Simplify right side
    668,652,635.25x = 1,026,323,633,690,509,568
  5. Step 5: Solve for x
    x = 1,026,323,633,690,509,568/668,652,635.25
  6. Step 6: Final answer
    x = 1,534,913,016.99

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.