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Finding the Third Proportional to 21,430,953 and 47,023,936.88

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Solution

The third proportional to 21,430,953 and 47,023,936.88 is: 103,180,229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,430,953 : 47,023,936.88 = 47,023,936.88 : x
  2. Step 2: Convert to fraction form
    21,430,953/47,023,936.88 = 47,023,936.88/x
  3. Step 3: Cross multiply
    21,430,953x = 47,023,936.88 × 47,023,936.88
  4. Step 4: Simplify right side
    21,430,953x = 2,211,250,639,223,984.75
  5. Step 5: Solve for x
    x = 2,211,250,639,223,984.75/21,430,953
  6. Step 6: Final answer
    x = 103,180,229.05

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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.