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Finding the Third Proportional to 262,345,098 and 564,410,004

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Solution

The third proportional to 262,345,098 and 564,410,004 is: 1,214,273,318.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,345,098 : 564,410,004 = 564,410,004 : x
  2. Step 2: Convert to fraction form
    262,345,098/564,410,004 = 564,410,004/x
  3. Step 3: Cross multiply
    262,345,098x = 564,410,004 × 564,410,004
  4. Step 4: Simplify right side
    262,345,098x = 318,558,652,615,280,000
  5. Step 5: Solve for x
    x = 318,558,652,615,280,000/262,345,098
  6. Step 6: Final answer
    x = 1,214,273,318.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.