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Finding the Third Proportional to 51,016,873,030 and 71,811,693,209

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Solution

The third proportional to 51,016,873,030 and 71,811,693,209 is: 101,082,621,792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,016,873,030 : 71,811,693,209 = 71,811,693,209 : x
  2. Step 2: Convert to fraction form
    51,016,873,030/71,811,693,209 = 71,811,693,209/x
  3. Step 3: Cross multiply
    51,016,873,030x = 71,811,693,209 × 71,811,693,209
  4. Step 4: Simplify right side
    51,016,873,030x = 5,156,919,281,543,536,443,392
  5. Step 5: Solve for x
    x = 5,156,919,281,543,536,443,392/51,016,873,030
  6. Step 6: Final answer
    x = 101,082,621,792.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.