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Finding the Third Proportional to 275,742,711 and 597,440,844

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Solution

The third proportional to 275,742,711 and 597,440,844 is: 1,294,451,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,742,711 : 597,440,844 = 597,440,844 : x
  2. Step 2: Convert to fraction form
    275,742,711/597,440,844 = 597,440,844/x
  3. Step 3: Cross multiply
    275,742,711x = 597,440,844 × 597,440,844
  4. Step 4: Simplify right side
    275,742,711x = 356,935,562,079,432,320
  5. Step 5: Solve for x
    x = 356,935,562,079,432,320/275,742,711
  6. Step 6: Final answer
    x = 1,294,451,486.26

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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.