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Finding the Third Proportional to 774,098,044,343.25 and 1,076,321,454,827.20

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Solution

The third proportional to 774,098,044,343.25 and 1,076,321,454,827.20 is: 1,496,538,949,538.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,098,044,343.25 : 1,076,321,454,827.20 = 1,076,321,454,827.20 : x
  2. Step 2: Convert to fraction form
    774,098,044,343.25/1,076,321,454,827.20 = 1,076,321,454,827.20/x
  3. Step 3: Cross multiply
    774,098,044,343.25x = 1,076,321,454,827.20 × 1,076,321,454,827.20
  4. Step 4: Simplify right side
    774,098,044,343.25x = 1,158,467,874,121,340,193,603,584
  5. Step 5: Solve for x
    x = 1,158,467,874,121,340,193,603,584/774,098,044,343.25
  6. Step 6: Final answer
    x = 1,496,538,949,538.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.