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Finding the Third Proportional to 19,233,814 and 29,953,625

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Solution

The third proportional to 19,233,814 and 29,953,625 is: 46,648,036.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,233,814 : 29,953,625 = 29,953,625 : x
  2. Step 2: Convert to fraction form
    19,233,814/29,953,625 = 29,953,625/x
  3. Step 3: Cross multiply
    19,233,814x = 29,953,625 × 29,953,625
  4. Step 4: Simplify right side
    19,233,814x = 897,219,650,640,625
  5. Step 5: Solve for x
    x = 897,219,650,640,625/19,233,814
  6. Step 6: Final answer
    x = 46,648,036.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.