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Finding the Third Proportional to 44,868,002,685 and 96,899,894,979

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Solution

The third proportional to 44,868,002,685 and 96,899,894,979 is: 209,271,397,990.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,868,002,685 : 96,899,894,979 = 96,899,894,979 : x
  2. Step 2: Convert to fraction form
    44,868,002,685/96,899,894,979 = 96,899,894,979/x
  3. Step 3: Cross multiply
    44,868,002,685x = 96,899,894,979 × 96,899,894,979
  4. Step 4: Simplify right side
    44,868,002,685x = 9,389,589,646,941,229,154,304
  5. Step 5: Solve for x
    x = 9,389,589,646,941,229,154,304/44,868,002,685
  6. Step 6: Final answer
    x = 209,271,397,990.72

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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.