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Finding the Third Proportional to 14,156,986 and 31,015,124

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Solution

The third proportional to 14,156,986 and 31,015,124 is: 67,947,931.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,156,986 : 31,015,124 = 31,015,124 : x
  2. Step 2: Convert to fraction form
    14,156,986/31,015,124 = 31,015,124/x
  3. Step 3: Cross multiply
    14,156,986x = 31,015,124 × 31,015,124
  4. Step 4: Simplify right side
    14,156,986x = 961,937,916,735,376
  5. Step 5: Solve for x
    x = 961,937,916,735,376/14,156,986
  6. Step 6: Final answer
    x = 67,947,931.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.