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Finding the Third Proportional to 275,744,746 and 597,443,816

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Solution

The third proportional to 275,744,746 and 597,443,816 is: 1,294,454,811.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,744,746 : 597,443,816 = 597,443,816 : x
  2. Step 2: Convert to fraction form
    275,744,746/597,443,816 = 597,443,816/x
  3. Step 3: Cross multiply
    275,744,746x = 597,443,816 × 597,443,816
  4. Step 4: Simplify right side
    275,744,746x = 356,939,113,276,641,856
  5. Step 5: Solve for x
    x = 356,939,113,276,641,856/275,744,746
  6. Step 6: Final answer
    x = 1,294,454,811.76

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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.