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Finding the Third Proportional to 260,006,818,636 and 527,324,437,829

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Solution

The third proportional to 260,006,818,636 and 527,324,437,829 is: 1,069,476,039,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,006,818,636 : 527,324,437,829 = 527,324,437,829 : x
  2. Step 2: Convert to fraction form
    260,006,818,636/527,324,437,829 = 527,324,437,829/x
  3. Step 3: Cross multiply
    260,006,818,636x = 527,324,437,829 × 527,324,437,829
  4. Step 4: Simplify right side
    260,006,818,636x = 278,071,062,731,670,889,168,896
  5. Step 5: Solve for x
    x = 278,071,062,731,670,889,168,896/260,006,818,636
  6. Step 6: Final answer
    x = 1,069,476,039,860.94

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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.