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Finding the Third Proportional to 21,053,896.50 and 31,736,370

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Solution

The third proportional to 21,053,896.50 and 31,736,370 is: 47,838,991.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,053,896.50 : 31,736,370 = 31,736,370 : x
  2. Step 2: Convert to fraction form
    21,053,896.50/31,736,370 = 31,736,370/x
  3. Step 3: Cross multiply
    21,053,896.50x = 31,736,370 × 31,736,370
  4. Step 4: Simplify right side
    21,053,896.50x = 1,007,197,180,776,900
  5. Step 5: Solve for x
    x = 1,007,197,180,776,900/21,053,896.50
  6. Step 6: Final answer
    x = 47,838,991.74

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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.