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Finding the Third Proportional to 22,110,840 and 47,843,340

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Solution

The third proportional to 22,110,840 and 47,843,340 is: 103,523,212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,110,840 : 47,843,340 = 47,843,340 : x
  2. Step 2: Convert to fraction form
    22,110,840/47,843,340 = 47,843,340/x
  3. Step 3: Cross multiply
    22,110,840x = 47,843,340 × 47,843,340
  4. Step 4: Simplify right side
    22,110,840x = 2,288,985,182,355,600
  5. Step 5: Solve for x
    x = 2,288,985,182,355,600/22,110,840
  6. Step 6: Final answer
    x = 103,523,212.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.