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Finding the Third Proportional to 719,774,561,261 and 1,499,124,439,806

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Solution

The third proportional to 719,774,561,261 and 1,499,124,439,806 is: 3,122,330,528,167.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,774,561,261 : 1,499,124,439,806 = 1,499,124,439,806 : x
  2. Step 2: Convert to fraction form
    719,774,561,261/1,499,124,439,806 = 1,499,124,439,806/x
  3. Step 3: Cross multiply
    719,774,561,261x = 1,499,124,439,806 × 1,499,124,439,806
  4. Step 4: Simplify right side
    719,774,561,261x = 2,247,374,086,023,653,372,198,912
  5. Step 5: Solve for x
    x = 2,247,374,086,023,653,372,198,912/719,774,561,261
  6. Step 6: Final answer
    x = 3,122,330,528,167.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.