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Finding the Third Proportional to 996,076,878 and 1,488,625,395

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Solution

The third proportional to 996,076,878 and 1,488,625,395 is: 2,224,733,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,076,878 : 1,488,625,395 = 1,488,625,395 : x
  2. Step 2: Convert to fraction form
    996,076,878/1,488,625,395 = 1,488,625,395/x
  3. Step 3: Cross multiply
    996,076,878x = 1,488,625,395 × 1,488,625,395
  4. Step 4: Simplify right side
    996,076,878x = 2,216,005,566,638,906,112
  5. Step 5: Solve for x
    x = 2,216,005,566,638,906,112/996,076,878
  6. Step 6: Final answer
    x = 2,224,733,467.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.