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Finding the Third Proportional to 3,238,593,755.63 and 4,975,741,369.13

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Solution

The third proportional to 3,238,593,755.63 and 4,975,741,369.13 is: 7,644,676,683.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238,593,755.63 : 4,975,741,369.13 = 4,975,741,369.13 : x
  2. Step 2: Convert to fraction form
    3,238,593,755.63/4,975,741,369.13 = 4,975,741,369.13/x
  3. Step 3: Cross multiply
    3,238,593,755.63x = 4,975,741,369.13 × 4,975,741,369.13
  4. Step 4: Simplify right side
    3,238,593,755.63x = 24,758,002,172,421,931,008
  5. Step 5: Solve for x
    x = 24,758,002,172,421,931,008/3,238,593,755.63
  6. Step 6: Final answer
    x = 7,644,676,683.95

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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.