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Finding the Third Proportional to 260,460,311.63 and 542,355,410.25

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Solution

The third proportional to 260,460,311.63 and 542,355,410.25 is: 1,129,344,387.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,460,311.63 : 542,355,410.25 = 542,355,410.25 : x
  2. Step 2: Convert to fraction form
    260,460,311.63/542,355,410.25 = 542,355,410.25/x
  3. Step 3: Cross multiply
    260,460,311.63x = 542,355,410.25 × 542,355,410.25
  4. Step 4: Simplify right side
    260,460,311.63x = 294,149,391,027,445,824
  5. Step 5: Solve for x
    x = 294,149,391,027,445,824/260,460,311.63
  6. Step 6: Final answer
    x = 1,129,344,387.22

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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.