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Finding the Third Proportional to 4,611,664 and 6,932,316

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Solution

The third proportional to 4,611,664 and 6,932,316 is: 10,420,751.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611,664 : 6,932,316 = 6,932,316 : x
  2. Step 2: Convert to fraction form
    4,611,664/6,932,316 = 6,932,316/x
  3. Step 3: Cross multiply
    4,611,664x = 6,932,316 × 6,932,316
  4. Step 4: Simplify right side
    4,611,664x = 48,057,005,123,856
  5. Step 5: Solve for x
    x = 48,057,005,123,856/4,611,664
  6. Step 6: Final answer
    x = 10,420,751.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.