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Finding the Third Proportional to 37,762,047.84 and 58,311,207.56

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Solution

The third proportional to 37,762,047.84 and 58,311,207.56 is: 90,042,704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,762,047.84 : 58,311,207.56 = 58,311,207.56 : x
  2. Step 2: Convert to fraction form
    37,762,047.84/58,311,207.56 = 58,311,207.56/x
  3. Step 3: Cross multiply
    37,762,047.84x = 58,311,207.56 × 58,311,207.56
  4. Step 4: Simplify right side
    37,762,047.84x = 3,400,196,927,396,957
  5. Step 5: Solve for x
    x = 3,400,196,927,396,957/37,762,047.84
  6. Step 6: Final answer
    x = 90,042,704.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.