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Finding the Third Proportional to 5,179,080,114 and 7,571,996,262

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Solution

The third proportional to 5,179,080,114 and 7,571,996,262 is: 11,070,523,361.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179,080,114 : 7,571,996,262 = 7,571,996,262 : x
  2. Step 2: Convert to fraction form
    5,179,080,114/7,571,996,262 = 7,571,996,262/x
  3. Step 3: Cross multiply
    5,179,080,114x = 7,571,996,262 × 7,571,996,262
  4. Step 4: Simplify right side
    5,179,080,114x = 57,335,127,391,741,976,576
  5. Step 5: Solve for x
    x = 57,335,127,391,741,976,576/5,179,080,114
  6. Step 6: Final answer
    x = 11,070,523,361.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.