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Finding the Third Proportional to 262,345,101 and 564,410,010

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Solution

The third proportional to 262,345,101 and 564,410,010 is: 1,214,273,329.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,345,101 : 564,410,010 = 564,410,010 : x
  2. Step 2: Convert to fraction form
    262,345,101/564,410,010 = 564,410,010/x
  3. Step 3: Cross multiply
    262,345,101x = 564,410,010 × 564,410,010
  4. Step 4: Simplify right side
    262,345,101x = 318,558,659,388,200,128
  5. Step 5: Solve for x
    x = 318,558,659,388,200,128/262,345,101
  6. Step 6: Final answer
    x = 1,214,273,329.95

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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.