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Finding the Third Proportional to 21,806,548.50 and 47,574,022.50

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Solution

The third proportional to 21,806,548.50 and 47,574,022.50 is: 103,789,355.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,806,548.50 : 47,574,022.50 = 47,574,022.50 : x
  2. Step 2: Convert to fraction form
    21,806,548.50/47,574,022.50 = 47,574,022.50/x
  3. Step 3: Cross multiply
    21,806,548.50x = 47,574,022.50 × 47,574,022.50
  4. Step 4: Simplify right side
    21,806,548.50x = 2,263,287,616,830,506
  5. Step 5: Solve for x
    x = 2,263,287,616,830,506/21,806,548.50
  6. Step 6: Final answer
    x = 103,789,355.61

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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.