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Finding the Third Proportional to 7,745,148 and 16,833,600

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Solution

The third proportional to 7,745,148 and 16,833,600 is: 36,586,788.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745,148 : 16,833,600 = 16,833,600 : x
  2. Step 2: Convert to fraction form
    7,745,148/16,833,600 = 16,833,600/x
  3. Step 3: Cross multiply
    7,745,148x = 16,833,600 × 16,833,600
  4. Step 4: Simplify right side
    7,745,148x = 283,370,088,960,000
  5. Step 5: Solve for x
    x = 283,370,088,960,000/7,745,148
  6. Step 6: Final answer
    x = 36,586,788.14

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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.