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Finding the Third Proportional to 10,393,282,786 and 24,251,831,316

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Solution

The third proportional to 10,393,282,786 and 24,251,831,316 is: 56,589,562,151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393,282,786 : 24,251,831,316 = 24,251,831,316 : x
  2. Step 2: Convert to fraction form
    10,393,282,786/24,251,831,316 = 24,251,831,316/x
  3. Step 3: Cross multiply
    10,393,282,786x = 24,251,831,316 × 24,251,831,316
  4. Step 4: Simplify right side
    10,393,282,786x = 588,151,322,179,718,283,264
  5. Step 5: Solve for x
    x = 588,151,322,179,718,283,264/10,393,282,786
  6. Step 6: Final answer
    x = 56,589,562,151.81

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.