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Finding the Third Proportional to 7,701,936 and 16,688,176

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Solution

The third proportional to 7,701,936 and 16,688,176 is: 36,159,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,701,936 : 16,688,176 = 16,688,176 : x
  2. Step 2: Convert to fraction form
    7,701,936/16,688,176 = 16,688,176/x
  3. Step 3: Cross multiply
    7,701,936x = 16,688,176 × 16,688,176
  4. Step 4: Simplify right side
    7,701,936x = 278,495,218,206,976
  5. Step 5: Solve for x
    x = 278,495,218,206,976/7,701,936
  6. Step 6: Final answer
    x = 36,159,118.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.