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Finding the Third Proportional to 19,383,591 and 30,411,310.50

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Solution

The third proportional to 19,383,591 and 30,411,310.50 is: 47,712,924.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,383,591 : 30,411,310.50 = 30,411,310.50 : x
  2. Step 2: Convert to fraction form
    19,383,591/30,411,310.50 = 30,411,310.50/x
  3. Step 3: Cross multiply
    19,383,591x = 30,411,310.50 × 30,411,310.50
  4. Step 4: Simplify right side
    19,383,591x = 924,847,806,327,410.25
  5. Step 5: Solve for x
    x = 924,847,806,327,410.25/19,383,591
  6. Step 6: Final answer
    x = 47,712,924.11

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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.