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Finding the Third Proportional to 260,006,818,650 and 527,324,437,857

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Solution

The third proportional to 260,006,818,650 and 527,324,437,857 is: 1,069,476,039,916.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,006,818,650 : 527,324,437,857 = 527,324,437,857 : x
  2. Step 2: Convert to fraction form
    260,006,818,650/527,324,437,857 = 527,324,437,857/x
  3. Step 3: Cross multiply
    260,006,818,650x = 527,324,437,857 × 527,324,437,857
  4. Step 4: Simplify right side
    260,006,818,650x = 278,071,062,761,201,071,030,272
  5. Step 5: Solve for x
    x = 278,071,062,761,201,071,030,272/260,006,818,650
  6. Step 6: Final answer
    x = 1,069,476,039,916.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.