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Finding the Third Proportional to 4,832,415 and 10,421,029

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Solution

The third proportional to 4,832,415 and 10,421,029 is: 22,472,789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832,415 : 10,421,029 = 10,421,029 : x
  2. Step 2: Convert to fraction form
    4,832,415/10,421,029 = 10,421,029/x
  3. Step 3: Cross multiply
    4,832,415x = 10,421,029 × 10,421,029
  4. Step 4: Simplify right side
    4,832,415x = 108,597,845,418,841
  5. Step 5: Solve for x
    x = 108,597,845,418,841/4,832,415
  6. Step 6: Final answer
    x = 22,472,789.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.