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Finding the Third Proportional to 20,971,838.91 and 45,573,819.56

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Solution

The third proportional to 20,971,838.91 and 45,573,819.56 is: 99,036,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,971,838.91 : 45,573,819.56 = 45,573,819.56 : x
  2. Step 2: Convert to fraction form
    20,971,838.91/45,573,819.56 = 45,573,819.56/x
  3. Step 3: Cross multiply
    20,971,838.91x = 45,573,819.56 × 45,573,819.56
  4. Step 4: Simplify right side
    20,971,838.91x = 2,076,973,029,515,307.75
  5. Step 5: Solve for x
    x = 2,076,973,029,515,307.75/20,971,838.91
  6. Step 6: Final answer
    x = 99,036,285.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.