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Finding the Third Proportional to 233,647,572 and 498,567,664

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Solution

The third proportional to 233,647,572 and 498,567,664 is: 1,063,866,033.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,647,572 : 498,567,664 = 498,567,664 : x
  2. Step 2: Convert to fraction form
    233,647,572/498,567,664 = 498,567,664/x
  3. Step 3: Cross multiply
    233,647,572x = 498,567,664 × 498,567,664
  4. Step 4: Simplify right side
    233,647,572x = 248,569,715,586,416,896
  5. Step 5: Solve for x
    x = 248,569,715,586,416,896/233,647,572
  6. Step 6: Final answer
    x = 1,063,866,033.18

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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.