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Finding the Third Proportional to 5,692,282,068,163 and 8,671,797,986,434

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Solution

The third proportional to 5,692,282,068,163 and 8,671,797,986,434 is: 13,210,884,389,955.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692,282,068,163 : 8,671,797,986,434 = 8,671,797,986,434 : x
  2. Step 2: Convert to fraction form
    5,692,282,068,163/8,671,797,986,434 = 8,671,797,986,434/x
  3. Step 3: Cross multiply
    5,692,282,068,163x = 8,671,797,986,434 × 8,671,797,986,434
  4. Step 4: Simplify right side
    5,692,282,068,163x = 75,200,080,317,520,780,067,864,576
  5. Step 5: Solve for x
    x = 75,200,080,317,520,780,067,864,576/5,692,282,068,163
  6. Step 6: Final answer
    x = 13,210,884,389,955.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.