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Finding the Third Proportional to 6,809,930,063 and 9,585,703,313

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Solution

The third proportional to 6,809,930,063 and 9,585,703,313 is: 13,492,900,390.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809,930,063 : 9,585,703,313 = 9,585,703,313 : x
  2. Step 2: Convert to fraction form
    6,809,930,063/9,585,703,313 = 9,585,703,313/x
  3. Step 3: Cross multiply
    6,809,930,063x = 9,585,703,313 × 9,585,703,313
  4. Step 4: Simplify right side
    6,809,930,063x = 91,885,708,004,859,183,104
  5. Step 5: Solve for x
    x = 91,885,708,004,859,183,104/6,809,930,063
  6. Step 6: Final answer
    x = 13,492,900,390.28

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.