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Finding the Third Proportional to 51,658,236,030 and 80,207,148,719

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Solution

The third proportional to 51,658,236,030 and 80,207,148,719 is: 124,533,611,676.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,658,236,030 : 80,207,148,719 = 80,207,148,719 : x
  2. Step 2: Convert to fraction form
    51,658,236,030/80,207,148,719 = 80,207,148,719/x
  3. Step 3: Cross multiply
    51,658,236,030x = 80,207,148,719 × 80,207,148,719
  4. Step 4: Simplify right side
    51,658,236,030x = 6,433,186,705,631,782,895,616
  5. Step 5: Solve for x
    x = 6,433,186,705,631,782,895,616/51,658,236,030
  6. Step 6: Final answer
    x = 124,533,611,676.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.