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Finding the Third Proportional to 233,647,557 and 498,567,633

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Solution

The third proportional to 233,647,557 and 498,567,633 is: 1,063,865,969.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,647,557 : 498,567,633 = 498,567,633 : x
  2. Step 2: Convert to fraction form
    233,647,557/498,567,633 = 498,567,633/x
  3. Step 3: Cross multiply
    233,647,557x = 498,567,633 × 498,567,633
  4. Step 4: Simplify right side
    233,647,557x = 248,569,684,675,222,688
  5. Step 5: Solve for x
    x = 248,569,684,675,222,688/233,647,557
  6. Step 6: Final answer
    x = 1,063,865,969.18

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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.