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Finding the Third Proportional to 2,118,046,110 and 4,617,459,684

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Solution

The third proportional to 2,118,046,110 and 4,617,459,684 is: 10,066,321,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118,046,110 : 4,617,459,684 = 4,617,459,684 : x
  2. Step 2: Convert to fraction form
    2,118,046,110/4,617,459,684 = 4,617,459,684/x
  3. Step 3: Cross multiply
    2,118,046,110x = 4,617,459,684 × 4,617,459,684
  4. Step 4: Simplify right side
    2,118,046,110x = 21,320,933,933,365,379,072
  5. Step 5: Solve for x
    x = 21,320,933,933,365,379,072/2,118,046,110
  6. Step 6: Final answer
    x = 10,066,321,895.78

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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.