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Finding the Third Proportional to 40,963,932,722 and 89,370,834,266

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Solution

The third proportional to 40,963,932,722 and 89,370,834,266 is: 194,979,961,313.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,963,932,722 : 89,370,834,266 = 89,370,834,266 : x
  2. Step 2: Convert to fraction form
    40,963,932,722/89,370,834,266 = 89,370,834,266/x
  3. Step 3: Cross multiply
    40,963,932,722x = 89,370,834,266 × 89,370,834,266
  4. Step 4: Simplify right side
    40,963,932,722x = 7,987,146,017,400,839,733,248
  5. Step 5: Solve for x
    x = 7,987,146,017,400,839,733,248/40,963,932,722
  6. Step 6: Final answer
    x = 194,979,961,313.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.