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Finding the Third Proportional to 6,201,803,406 and 9,532,620,288

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Solution

The third proportional to 6,201,803,406 and 9,532,620,288 is: 14,652,326,687.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201,803,406 : 9,532,620,288 = 9,532,620,288 : x
  2. Step 2: Convert to fraction form
    6,201,803,406/9,532,620,288 = 9,532,620,288/x
  3. Step 3: Cross multiply
    6,201,803,406x = 9,532,620,288 × 9,532,620,288
  4. Step 4: Simplify right side
    6,201,803,406x = 90,870,849,555,189,202,944
  5. Step 5: Solve for x
    x = 90,870,849,555,189,202,944/6,201,803,406
  6. Step 6: Final answer
    x = 14,652,326,687.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.