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Finding the Third Proportional to 19,474,664 and 30,314,292

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Solution

The third proportional to 19,474,664 and 30,314,292 is: 47,187,273.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,474,664 : 30,314,292 = 30,314,292 : x
  2. Step 2: Convert to fraction form
    19,474,664/30,314,292 = 30,314,292/x
  3. Step 3: Cross multiply
    19,474,664x = 30,314,292 × 30,314,292
  4. Step 4: Simplify right side
    19,474,664x = 918,956,299,461,264
  5. Step 5: Solve for x
    x = 918,956,299,461,264/19,474,664
  6. Step 6: Final answer
    x = 47,187,273.65

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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.