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Finding the Third Proportional to 21,806,700.75 and 47,574,299.25

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Solution

The third proportional to 21,806,700.75 and 47,574,299.25 is: 103,789,838.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,806,700.75 : 47,574,299.25 = 47,574,299.25 : x
  2. Step 2: Convert to fraction form
    21,806,700.75/47,574,299.25 = 47,574,299.25/x
  3. Step 3: Cross multiply
    21,806,700.75x = 47,574,299.25 × 47,574,299.25
  4. Step 4: Simplify right side
    21,806,700.75x = 2,263,313,949,128,550.50
  5. Step 5: Solve for x
    x = 2,263,313,949,128,550.50/21,806,700.75
  6. Step 6: Final answer
    x = 103,789,838.50

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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.