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Finding the Third Proportional to 7,745,160 and 16,833,630

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Solution

The third proportional to 7,745,160 and 16,833,630 is: 36,586,861.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745,160 : 16,833,630 = 16,833,630 : x
  2. Step 2: Convert to fraction form
    7,745,160/16,833,630 = 16,833,630/x
  3. Step 3: Cross multiply
    7,745,160x = 16,833,630 × 16,833,630
  4. Step 4: Simplify right side
    7,745,160x = 283,371,098,976,900
  5. Step 5: Solve for x
    x = 283,371,098,976,900/7,745,160
  6. Step 6: Final answer
    x = 36,586,861.86

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Why These Related Problems?

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