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Finding the Third Proportional to 679,245,714 and 1,455,361,272

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Solution

The third proportional to 679,245,714 and 1,455,361,272 is: 3,118,277,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    679,245,714 : 1,455,361,272 = 1,455,361,272 : x
  2. Step 2: Convert to fraction form
    679,245,714/1,455,361,272 = 1,455,361,272/x
  3. Step 3: Cross multiply
    679,245,714x = 1,455,361,272 × 1,455,361,272
  4. Step 4: Simplify right side
    679,245,714x = 2,118,076,432,037,457,920
  5. Step 5: Solve for x
    x = 2,118,076,432,037,457,920/679,245,714
  6. Step 6: Final answer
    x = 3,118,277,213.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.