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Finding the Third Proportional to 42,701,473,740 and 88,937,322,486

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Solution

The third proportional to 42,701,473,740 and 88,937,322,486 is: 185,235,933,053.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,701,473,740 : 88,937,322,486 = 88,937,322,486 : x
  2. Step 2: Convert to fraction form
    42,701,473,740/88,937,322,486 = 88,937,322,486/x
  3. Step 3: Cross multiply
    42,701,473,740x = 88,937,322,486 × 88,937,322,486
  4. Step 4: Simplify right side
    42,701,473,740x = 7,909,847,330,978,761,015,296
  5. Step 5: Solve for x
    x = 7,909,847,330,978,761,015,296/42,701,473,740
  6. Step 6: Final answer
    x = 185,235,933,053.27

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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.