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Finding the Third Proportional to 28,002,048 and 45,724,536

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Solution

The third proportional to 28,002,048 and 45,724,536 is: 74,663,581.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,002,048 : 45,724,536 = 45,724,536 : x
  2. Step 2: Convert to fraction form
    28,002,048/45,724,536 = 45,724,536/x
  3. Step 3: Cross multiply
    28,002,048x = 45,724,536 × 45,724,536
  4. Step 4: Simplify right side
    28,002,048x = 2,090,733,192,415,296
  5. Step 5: Solve for x
    x = 2,090,733,192,415,296/28,002,048
  6. Step 6: Final answer
    x = 74,663,581.48

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.