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Finding the Third Proportional to 19,697,376 and 31,466,985

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Solution

The third proportional to 19,697,376 and 31,466,985 is: 50,269,190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,697,376 : 31,466,985 = 31,466,985 : x
  2. Step 2: Convert to fraction form
    19,697,376/31,466,985 = 31,466,985/x
  3. Step 3: Cross multiply
    19,697,376x = 31,466,985 × 31,466,985
  4. Step 4: Simplify right side
    19,697,376x = 990,171,144,990,225
  5. Step 5: Solve for x
    x = 990,171,144,990,225/19,697,376
  6. Step 6: Final answer
    x = 50,269,190.42

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.