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Finding the Third Proportional to 7,727,454 and 16,782,332

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Solution

The third proportional to 7,727,454 and 16,782,332 is: 36,447,537.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727,454 : 16,782,332 = 16,782,332 : x
  2. Step 2: Convert to fraction form
    7,727,454/16,782,332 = 16,782,332/x
  3. Step 3: Cross multiply
    7,727,454x = 16,782,332 × 16,782,332
  4. Step 4: Simplify right side
    7,727,454x = 281,646,667,358,224
  5. Step 5: Solve for x
    x = 281,646,667,358,224/7,727,454
  6. Step 6: Final answer
    x = 36,447,537.23

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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.