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Finding the Third Proportional to 71,573,191,492 and 106,739,112,966

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Solution

The third proportional to 71,573,191,492 and 106,739,112,966 is: 159,183,040,455.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,573,191,492 : 106,739,112,966 = 106,739,112,966 : x
  2. Step 2: Convert to fraction form
    71,573,191,492/106,739,112,966 = 106,739,112,966/x
  3. Step 3: Cross multiply
    71,573,191,492x = 106,739,112,966 × 106,739,112,966
  4. Step 4: Simplify right side
    71,573,191,492x = 11,393,238,236,768,510,148,608
  5. Step 5: Solve for x
    x = 11,393,238,236,768,510,148,608/71,573,191,492
  6. Step 6: Final answer
    x = 159,183,040,455.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.