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Finding the Third Proportional to 260,111,763 and 427,012,602

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Solution

The third proportional to 260,111,763 and 427,012,602 is: 701,005,445.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,111,763 : 427,012,602 = 427,012,602 : x
  2. Step 2: Convert to fraction form
    260,111,763/427,012,602 = 427,012,602/x
  3. Step 3: Cross multiply
    260,111,763x = 427,012,602 × 427,012,602
  4. Step 4: Simplify right side
    260,111,763x = 182,339,762,266,810,400
  5. Step 5: Solve for x
    x = 182,339,762,266,810,400/260,111,763
  6. Step 6: Final answer
    x = 701,005,445.37

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.