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Finding the Third Proportional to 499,131,693 and 1,077,181,281

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Solution

The third proportional to 499,131,693 and 1,077,181,281 is: 2,324,676,089.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,131,693 : 1,077,181,281 = 1,077,181,281 : x
  2. Step 2: Convert to fraction form
    499,131,693/1,077,181,281 = 1,077,181,281/x
  3. Step 3: Cross multiply
    499,131,693x = 1,077,181,281 × 1,077,181,281
  4. Step 4: Simplify right side
    499,131,693x = 1,160,319,512,136,801,024
  5. Step 5: Solve for x
    x = 1,160,319,512,136,801,024/499,131,693
  6. Step 6: Final answer
    x = 2,324,676,089.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.