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Finding the Third Proportional to 44,868,002,680 and 96,899,894,965

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Solution

The third proportional to 44,868,002,680 and 96,899,894,965 is: 209,271,397,953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,868,002,680 : 96,899,894,965 = 96,899,894,965 : x
  2. Step 2: Convert to fraction form
    44,868,002,680/96,899,894,965 = 96,899,894,965/x
  3. Step 3: Cross multiply
    44,868,002,680x = 96,899,894,965 × 96,899,894,965
  4. Step 4: Simplify right side
    44,868,002,680x = 9,389,589,644,228,032,462,848
  5. Step 5: Solve for x
    x = 9,389,589,644,228,032,462,848/44,868,002,680
  6. Step 6: Final answer
    x = 209,271,397,953.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.