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Finding the Third Proportional to 21,053,893.50 and 31,736,364.75

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Solution

The third proportional to 21,053,893.50 and 31,736,364.75 is: 47,838,982.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,053,893.50 : 31,736,364.75 = 31,736,364.75 : x
  2. Step 2: Convert to fraction form
    21,053,893.50/31,736,364.75 = 31,736,364.75/x
  3. Step 3: Cross multiply
    21,053,893.50x = 31,736,364.75 × 31,736,364.75
  4. Step 4: Simplify right side
    21,053,893.50x = 1,007,196,847,545,042.50
  5. Step 5: Solve for x
    x = 1,007,196,847,545,042.50/21,053,893.50
  6. Step 6: Final answer
    x = 47,838,982.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.