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Finding the Third Proportional to 9,885,284 and 14,792,124

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Solution

The third proportional to 9,885,284 and 14,792,124 is: 22,134,612.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885,284 : 14,792,124 = 14,792,124 : x
  2. Step 2: Convert to fraction form
    9,885,284/14,792,124 = 14,792,124/x
  3. Step 3: Cross multiply
    9,885,284x = 14,792,124 × 14,792,124
  4. Step 4: Simplify right side
    9,885,284x = 218,806,932,431,376
  5. Step 5: Solve for x
    x = 218,806,932,431,376/9,885,284
  6. Step 6: Final answer
    x = 22,134,612.67

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Why These Related Problems?

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