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Finding the Third Proportional to 21,548,300 and 47,287,296

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Solution

The third proportional to 21,548,300 and 47,287,296 is: 103,770,987.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,548,300 : 47,287,296 = 47,287,296 : x
  2. Step 2: Convert to fraction form
    21,548,300/47,287,296 = 47,287,296/x
  3. Step 3: Cross multiply
    21,548,300x = 47,287,296 × 47,287,296
  4. Step 4: Simplify right side
    21,548,300x = 2,236,088,362,991,616
  5. Step 5: Solve for x
    x = 2,236,088,362,991,616/21,548,300
  6. Step 6: Final answer
    x = 103,770,987.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.