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Finding the Third Proportional to 41,677,941,402 and 56,233,328,226.75

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Solution

The third proportional to 41,677,941,402 and 56,233,328,226.75 is: 75,871,962,411.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,677,941,402 : 56,233,328,226.75 = 56,233,328,226.75 : x
  2. Step 2: Convert to fraction form
    41,677,941,402/56,233,328,226.75 = 56,233,328,226.75/x
  3. Step 3: Cross multiply
    41,677,941,402x = 56,233,328,226.75 × 56,233,328,226.75
  4. Step 4: Simplify right side
    41,677,941,402x = 3,162,187,203,457,398,079,488
  5. Step 5: Solve for x
    x = 3,162,187,203,457,398,079,488/41,677,941,402
  6. Step 6: Final answer
    x = 75,871,962,411.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.