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Finding the Third Proportional to 7,624,263 and 15,654,396

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Solution

The third proportional to 7,624,263 and 15,654,396 is: 32,142,138.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624,263 : 15,654,396 = 15,654,396 : x
  2. Step 2: Convert to fraction form
    7,624,263/15,654,396 = 15,654,396/x
  3. Step 3: Cross multiply
    7,624,263x = 15,654,396 × 15,654,396
  4. Step 4: Simplify right side
    7,624,263x = 245,060,114,124,816
  5. Step 5: Solve for x
    x = 245,060,114,124,816/7,624,263
  6. Step 6: Final answer
    x = 32,142,138.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.