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Finding the Third Proportional to 19,398,393 and 30,430,215

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Solution

The third proportional to 19,398,393 and 30,430,215 is: 47,735,809.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,398,393 : 30,430,215 = 30,430,215 : x
  2. Step 2: Convert to fraction form
    19,398,393/30,430,215 = 30,430,215/x
  3. Step 3: Cross multiply
    19,398,393x = 30,430,215 × 30,430,215
  4. Step 4: Simplify right side
    19,398,393x = 925,997,984,946,225
  5. Step 5: Solve for x
    x = 925,997,984,946,225/19,398,393
  6. Step 6: Final answer
    x = 47,735,809.09

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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.