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Finding the Third Proportional to 21,793,716 and 45,846,115.50

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Solution

The third proportional to 21,793,716 and 45,846,115.50 is: 96,443,686.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,793,716 : 45,846,115.50 = 45,846,115.50 : x
  2. Step 2: Convert to fraction form
    21,793,716/45,846,115.50 = 45,846,115.50/x
  3. Step 3: Cross multiply
    21,793,716x = 45,846,115.50 × 45,846,115.50
  4. Step 4: Simplify right side
    21,793,716x = 2,101,866,306,439,340.25
  5. Step 5: Solve for x
    x = 2,101,866,306,439,340.25/21,793,716
  6. Step 6: Final answer
    x = 96,443,686.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.