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Finding the Third Proportional to 7,692,050 and 16,812,940

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Solution

The third proportional to 7,692,050 and 16,812,940 is: 36,748,974.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692,050 : 16,812,940 = 16,812,940 : x
  2. Step 2: Convert to fraction form
    7,692,050/16,812,940 = 16,812,940/x
  3. Step 3: Cross multiply
    7,692,050x = 16,812,940 × 16,812,940
  4. Step 4: Simplify right side
    7,692,050x = 282,674,951,443,600
  5. Step 5: Solve for x
    x = 282,674,951,443,600/7,692,050
  6. Step 6: Final answer
    x = 36,748,974.78

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Why These Related Problems?

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