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Finding the Third Proportional to 3,141,854,495 and 6,835,324,861

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Solution

The third proportional to 3,141,854,495 and 6,835,324,861 is: 14,870,728,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141,854,495 : 6,835,324,861 = 6,835,324,861 : x
  2. Step 2: Convert to fraction form
    3,141,854,495/6,835,324,861 = 6,835,324,861/x
  3. Step 3: Cross multiply
    3,141,854,495x = 6,835,324,861 × 6,835,324,861
  4. Step 4: Simplify right side
    3,141,854,495x = 46,721,665,955,404,668,928
  5. Step 5: Solve for x
    x = 46,721,665,955,404,668,928/3,141,854,495
  6. Step 6: Final answer
    x = 14,870,728,746.27

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.