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Finding the Third Proportional to 233,647,586 and 498,567,692

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Solution

The third proportional to 233,647,586 and 498,567,692 is: 1,063,866,088.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,647,586 : 498,567,692 = 498,567,692 : x
  2. Step 2: Convert to fraction form
    233,647,586/498,567,692 = 498,567,692/x
  3. Step 3: Cross multiply
    233,647,586x = 498,567,692 × 498,567,692
  4. Step 4: Simplify right side
    233,647,586x = 248,569,743,506,206,848
  5. Step 5: Solve for x
    x = 248,569,743,506,206,848/233,647,586
  6. Step 6: Final answer
    x = 1,063,866,088.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.