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Finding the Third Proportional to 22,905,827 and 32,041,477

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Solution

The third proportional to 22,905,827 and 32,041,477 is: 44,820,745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,905,827 : 32,041,477 = 32,041,477 : x
  2. Step 2: Convert to fraction form
    22,905,827/32,041,477 = 32,041,477/x
  3. Step 3: Cross multiply
    22,905,827x = 32,041,477 × 32,041,477
  4. Step 4: Simplify right side
    22,905,827x = 1,026,656,248,341,529
  5. Step 5: Solve for x
    x = 1,026,656,248,341,529/22,905,827
  6. Step 6: Final answer
    x = 44,820,745.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.