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Finding the Third Proportional to 3,809,652,984 and 8,203,127,076

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Solution

The third proportional to 3,809,652,984 and 8,203,127,076 is: 17,663,365,694.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809,652,984 : 8,203,127,076 = 8,203,127,076 : x
  2. Step 2: Convert to fraction form
    3,809,652,984/8,203,127,076 = 8,203,127,076/x
  3. Step 3: Cross multiply
    3,809,652,984x = 8,203,127,076 × 8,203,127,076
  4. Step 4: Simplify right side
    3,809,652,984x = 67,291,293,825,004,306,432
  5. Step 5: Solve for x
    x = 67,291,293,825,004,306,432/3,809,652,984
  6. Step 6: Final answer
    x = 17,663,365,694.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.