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Finding the Third Proportional to 11,196,746,664 and 24,055,120,720

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Solution

The third proportional to 11,196,746,664 and 24,055,120,720 is: 51,680,086,208.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,196,746,664 : 24,055,120,720 = 24,055,120,720 : x
  2. Step 2: Convert to fraction form
    11,196,746,664/24,055,120,720 = 24,055,120,720/x
  3. Step 3: Cross multiply
    11,196,746,664x = 24,055,120,720 × 24,055,120,720
  4. Step 4: Simplify right side
    11,196,746,664x = 578,648,832,853,773,320,192
  5. Step 5: Solve for x
    x = 578,648,832,853,773,320,192/11,196,746,664
  6. Step 6: Final answer
    x = 51,680,086,208.81

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.