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Finding the Third Proportional to 1,022,236,735 and 2,188,073,437.50

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Solution

The third proportional to 1,022,236,735 and 2,188,073,437.50 is: 4,683,519,192.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,236,735 : 2,188,073,437.50 = 2,188,073,437.50 : x
  2. Step 2: Convert to fraction form
    1,022,236,735/2,188,073,437.50 = 2,188,073,437.50/x
  3. Step 3: Cross multiply
    1,022,236,735x = 2,188,073,437.50 × 2,188,073,437.50
  4. Step 4: Simplify right side
    1,022,236,735x = 4,787,665,367,893,066,752
  5. Step 5: Solve for x
    x = 4,787,665,367,893,066,752/1,022,236,735
  6. Step 6: Final answer
    x = 4,683,519,192.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.