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Finding the Third Proportional to 2,118,046,106 and 4,617,459,676

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Solution

The third proportional to 2,118,046,106 and 4,617,459,676 is: 10,066,321,879.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118,046,106 : 4,617,459,676 = 4,617,459,676 : x
  2. Step 2: Convert to fraction form
    2,118,046,106/4,617,459,676 = 4,617,459,676/x
  3. Step 3: Cross multiply
    2,118,046,106x = 4,617,459,676 × 4,617,459,676
  4. Step 4: Simplify right side
    2,118,046,106x = 21,320,933,859,486,023,680
  5. Step 5: Solve for x
    x = 21,320,933,859,486,023,680/2,118,046,106
  6. Step 6: Final answer
    x = 10,066,321,879.91

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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.