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Finding the Third Proportional to 19,410,966 and 30,447,438

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Solution

The third proportional to 19,410,966 and 30,447,438 is: 47,758,904.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,410,966 : 30,447,438 = 30,447,438 : x
  2. Step 2: Convert to fraction form
    19,410,966/30,447,438 = 30,447,438/x
  3. Step 3: Cross multiply
    19,410,966x = 30,447,438 × 30,447,438
  4. Step 4: Simplify right side
    19,410,966x = 927,046,480,763,844
  5. Step 5: Solve for x
    x = 927,046,480,763,844/19,410,966
  6. Step 6: Final answer
    x = 47,758,904.98

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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.