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Finding the Third Proportional to 16,188,134,397 and 36,098,445,594

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Solution

The third proportional to 16,188,134,397 and 36,098,445,594 is: 80,497,093,880.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,188,134,397 : 36,098,445,594 = 36,098,445,594 : x
  2. Step 2: Convert to fraction form
    16,188,134,397/36,098,445,594 = 36,098,445,594/x
  3. Step 3: Cross multiply
    16,188,134,397x = 36,098,445,594 × 36,098,445,594
  4. Step 4: Simplify right side
    16,188,134,397x = 1,303,097,774,302,978,113,536
  5. Step 5: Solve for x
    x = 1,303,097,774,302,978,113,536/16,188,134,397
  6. Step 6: Final answer
    x = 80,497,093,880.35

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.