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Finding the Third Proportional to 45,673,984 and 69,957,680

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Solution

The third proportional to 45,673,984 and 69,957,680 is: 107,152,399.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,673,984 : 69,957,680 = 69,957,680 : x
  2. Step 2: Convert to fraction form
    45,673,984/69,957,680 = 69,957,680/x
  3. Step 3: Cross multiply
    45,673,984x = 69,957,680 × 69,957,680
  4. Step 4: Simplify right side
    45,673,984x = 4,894,076,990,982,400
  5. Step 5: Solve for x
    x = 4,894,076,990,982,400/45,673,984
  6. Step 6: Final answer
    x = 107,152,399.73

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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.