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Finding the Third Proportional to 1,714,349,934 and 3,720,953,052

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Solution

The third proportional to 1,714,349,934 and 3,720,953,052 is: 8,076,234,227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714,349,934 : 3,720,953,052 = 3,720,953,052 : x
  2. Step 2: Convert to fraction form
    1,714,349,934/3,720,953,052 = 3,720,953,052/x
  3. Step 3: Cross multiply
    1,714,349,934x = 3,720,953,052 × 3,720,953,052
  4. Step 4: Simplify right side
    1,714,349,934x = 13,845,491,615,188,115,456
  5. Step 5: Solve for x
    x = 13,845,491,615,188,115,456/1,714,349,934
  6. Step 6: Final answer
    x = 8,076,234,227.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.