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Finding the Third Proportional to 1,185,347,440 and 2,635,719,840

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Solution

The third proportional to 1,185,347,440 and 2,635,719,840 is: 5,860,744,993.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185,347,440 : 2,635,719,840 = 2,635,719,840 : x
  2. Step 2: Convert to fraction form
    1,185,347,440/2,635,719,840 = 2,635,719,840/x
  3. Step 3: Cross multiply
    1,185,347,440x = 2,635,719,840 × 2,635,719,840
  4. Step 4: Simplify right side
    1,185,347,440x = 6,947,019,074,969,625,600
  5. Step 5: Solve for x
    x = 6,947,019,074,969,625,600/1,185,347,440
  6. Step 6: Final answer
    x = 5,860,744,993.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.