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Finding the Third Proportional to 774,098,044,340.62 and 1,076,321,454,823.60

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Solution

The third proportional to 774,098,044,340.62 and 1,076,321,454,823.60 is: 1,496,538,949,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,098,044,340.62 : 1,076,321,454,823.60 = 1,076,321,454,823.60 : x
  2. Step 2: Convert to fraction form
    774,098,044,340.62/1,076,321,454,823.60 = 1,076,321,454,823.60/x
  3. Step 3: Cross multiply
    774,098,044,340.62x = 1,076,321,454,823.60 × 1,076,321,454,823.60
  4. Step 4: Simplify right side
    774,098,044,340.62x = 1,158,467,874,113,590,730,424,320
  5. Step 5: Solve for x
    x = 1,158,467,874,113,590,730,424,320/774,098,044,340.62
  6. Step 6: Final answer
    x = 1,496,538,949,533.68

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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.