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Finding the Third Proportional to 5,739,705,526 and 8,207,788,676

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Solution

The third proportional to 5,739,705,526 and 8,207,788,676 is: 11,737,151,783.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739,705,526 : 8,207,788,676 = 8,207,788,676 : x
  2. Step 2: Convert to fraction form
    5,739,705,526/8,207,788,676 = 8,207,788,676/x
  3. Step 3: Cross multiply
    5,739,705,526x = 8,207,788,676 × 8,207,788,676
  4. Step 4: Simplify right side
    5,739,705,526x = 67,367,794,949,873,836,032
  5. Step 5: Solve for x
    x = 67,367,794,949,873,836,032/5,739,705,526
  6. Step 6: Final answer
    x = 11,737,151,783.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.