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Finding the Third Proportional to 42,701,473,872 and 88,937,322,626

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Solution

The third proportional to 42,701,473,872 and 88,937,322,626 is: 185,235,933,063.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,701,473,872 : 88,937,322,626 = 88,937,322,626 : x
  2. Step 2: Convert to fraction form
    42,701,473,872/88,937,322,626 = 88,937,322,626/x
  3. Step 3: Cross multiply
    42,701,473,872x = 88,937,322,626 × 88,937,322,626
  4. Step 4: Simplify right side
    42,701,473,872x = 7,909,847,355,881,211,035,648
  5. Step 5: Solve for x
    x = 7,909,847,355,881,211,035,648/42,701,473,872
  6. Step 6: Final answer
    x = 185,235,933,063.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.