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Finding the Third Proportional to 21,892,536,253 and 47,797,983,659

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Solution

The third proportional to 21,892,536,253 and 47,797,983,659 is: 104,357,357,935.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,892,536,253 : 47,797,983,659 = 47,797,983,659 : x
  2. Step 2: Convert to fraction form
    21,892,536,253/47,797,983,659 = 47,797,983,659/x
  3. Step 3: Cross multiply
    21,892,536,253x = 47,797,983,659 × 47,797,983,659
  4. Step 4: Simplify right side
    21,892,536,253x = 2,284,647,241,866,031,136,768
  5. Step 5: Solve for x
    x = 2,284,647,241,866,031,136,768/21,892,536,253
  6. Step 6: Final answer
    x = 104,357,357,935.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.