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Finding the Third Proportional to 260,707,671 and 566,255,677.50

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Solution

The third proportional to 260,707,671 and 566,255,677.50 is: 1,229,904,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,707,671 : 566,255,677.50 = 566,255,677.50 : x
  2. Step 2: Convert to fraction form
    260,707,671/566,255,677.50 = 566,255,677.50/x
  3. Step 3: Cross multiply
    260,707,671x = 566,255,677.50 × 566,255,677.50
  4. Step 4: Simplify right side
    260,707,671x = 320,645,492,300,984,000
  5. Step 5: Solve for x
    x = 320,645,492,300,984,000/260,707,671
  6. Step 6: Final answer
    x = 1,229,904,325.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.