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Finding the Third Proportional to 11,175,152,802 and 24,334,352,012

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Solution

The third proportional to 11,175,152,802 and 24,334,352,012 is: 52,989,046,175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,175,152,802 : 24,334,352,012 = 24,334,352,012 : x
  2. Step 2: Convert to fraction form
    11,175,152,802/24,334,352,012 = 24,334,352,012/x
  3. Step 3: Cross multiply
    11,175,152,802x = 24,334,352,012 × 24,334,352,012
  4. Step 4: Simplify right side
    11,175,152,802x = 592,160,687,843,928,440,832
  5. Step 5: Solve for x
    x = 592,160,687,843,928,440,832/11,175,152,802
  6. Step 6: Final answer
    x = 52,989,046,175.54

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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.