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Finding the Third Proportional to 30,085,128 and 45,832,932

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Solution

The third proportional to 30,085,128 and 45,832,932 is: 69,823,789.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,085,128 : 45,832,932 = 45,832,932 : x
  2. Step 2: Convert to fraction form
    30,085,128/45,832,932 = 45,832,932/x
  3. Step 3: Cross multiply
    30,085,128x = 45,832,932 × 45,832,932
  4. Step 4: Simplify right side
    30,085,128x = 2,100,657,655,716,624
  5. Step 5: Solve for x
    x = 2,100,657,655,716,624/30,085,128
  6. Step 6: Final answer
    x = 69,823,789.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.