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Finding the Third Proportional to 3,538,688,899 and 7,666,214,427

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Solution

The third proportional to 3,538,688,899 and 7,666,214,427 is: 16,608,084,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538,688,899 : 7,666,214,427 = 7,666,214,427 : x
  2. Step 2: Convert to fraction form
    3,538,688,899/7,666,214,427 = 7,666,214,427/x
  3. Step 3: Cross multiply
    3,538,688,899x = 7,666,214,427 × 7,666,214,427
  4. Step 4: Simplify right side
    3,538,688,899x = 58,770,843,640,742,936,576
  5. Step 5: Solve for x
    x = 58,770,843,640,742,936,576/3,538,688,899
  6. Step 6: Final answer
    x = 16,608,084,326.75

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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.