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Finding the Third Proportional to 3,723,565,824 and 5,553,058,410

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Solution

The third proportional to 3,723,565,824 and 5,553,058,410 is: 8,281,432,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723,565,824 : 5,553,058,410 = 5,553,058,410 : x
  2. Step 2: Convert to fraction form
    3,723,565,824/5,553,058,410 = 5,553,058,410/x
  3. Step 3: Cross multiply
    3,723,565,824x = 5,553,058,410 × 5,553,058,410
  4. Step 4: Simplify right side
    3,723,565,824x = 30,836,457,704,871,727,104
  5. Step 5: Solve for x
    x = 30,836,457,704,871,727,104/3,723,565,824
  6. Step 6: Final answer
    x = 8,281,432,143.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.