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Finding the Third Proportional to 27,848,938.50 and 42,573,849.75

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Solution

The third proportional to 27,848,938.50 and 42,573,849.75 is: 65,084,444.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,848,938.50 : 42,573,849.75 = 42,573,849.75 : x
  2. Step 2: Convert to fraction form
    27,848,938.50/42,573,849.75 = 42,573,849.75/x
  3. Step 3: Cross multiply
    27,848,938.50x = 42,573,849.75 × 42,573,849.75
  4. Step 4: Simplify right side
    27,848,938.50x = 1,812,532,682,535,575
  5. Step 5: Solve for x
    x = 1,812,532,682,535,575/27,848,938.50
  6. Step 6: Final answer
    x = 65,084,444.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.