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Finding the Third Proportional to 2,857,977,420 and 6,129,475,608

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Solution

The third proportional to 2,857,977,420 and 6,129,475,608 is: 13,145,825,074.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,977,420 : 6,129,475,608 = 6,129,475,608 : x
  2. Step 2: Convert to fraction form
    2,857,977,420/6,129,475,608 = 6,129,475,608/x
  3. Step 3: Cross multiply
    2,857,977,420x = 6,129,475,608 × 6,129,475,608
  4. Step 4: Simplify right side
    2,857,977,420x = 37,570,471,229,066,969,088
  5. Step 5: Solve for x
    x = 37,570,471,229,066,969,088/2,857,977,420
  6. Step 6: Final answer
    x = 13,145,825,074.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.