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Finding the Third Proportional to 19,686,533 and 30,820,073

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Solution

The third proportional to 19,686,533 and 30,820,073 is: 48,250,085.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686,533 : 30,820,073 = 30,820,073 : x
  2. Step 2: Convert to fraction form
    19,686,533/30,820,073 = 30,820,073/x
  3. Step 3: Cross multiply
    19,686,533x = 30,820,073 × 30,820,073
  4. Step 4: Simplify right side
    19,686,533x = 949,876,899,725,329
  5. Step 5: Solve for x
    x = 949,876,899,725,329/19,686,533
  6. Step 6: Final answer
    x = 48,250,085.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.