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Finding the Third Proportional to 19,407,600 and 30,442,392

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Solution

The third proportional to 19,407,600 and 30,442,392 is: 47,751,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,407,600 : 30,442,392 = 30,442,392 : x
  2. Step 2: Convert to fraction form
    19,407,600/30,442,392 = 30,442,392/x
  3. Step 3: Cross multiply
    19,407,600x = 30,442,392 × 30,442,392
  4. Step 4: Simplify right side
    19,407,600x = 926,739,230,681,664
  5. Step 5: Solve for x
    x = 926,739,230,681,664/19,407,600
  6. Step 6: Final answer
    x = 47,751,356.72

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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.