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Finding the Third Proportional to 21,598,389 and 47,599,217.63

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Solution

The third proportional to 21,598,389 and 47,599,217.63 is: 104,900,671.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,598,389 : 47,599,217.63 = 47,599,217.63 : x
  2. Step 2: Convert to fraction form
    21,598,389/47,599,217.63 = 47,599,217.63/x
  3. Step 3: Cross multiply
    21,598,389x = 47,599,217.63 × 47,599,217.63
  4. Step 4: Simplify right side
    21,598,389x = 2,265,685,518,512,110.50
  5. Step 5: Solve for x
    x = 2,265,685,518,512,110.50/21,598,389
  6. Step 6: Final answer
    x = 104,900,671.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.