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Finding the Third Proportional to 21,583,700 and 47,203,042.50

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Solution

The third proportional to 21,583,700 and 47,203,042.50 is: 103,231,939.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,583,700 : 47,203,042.50 = 47,203,042.50 : x
  2. Step 2: Convert to fraction form
    21,583,700/47,203,042.50 = 47,203,042.50/x
  3. Step 3: Cross multiply
    21,583,700x = 47,203,042.50 × 47,203,042.50
  4. Step 4: Simplify right side
    21,583,700x = 2,228,127,221,256,806.25
  5. Step 5: Solve for x
    x = 2,228,127,221,256,806.25/21,583,700
  6. Step 6: Final answer
    x = 103,231,939.90

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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.