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Finding the Third Proportional to 353,632,229.16 and 743,911,436.25

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Solution

The third proportional to 353,632,229.16 and 743,911,436.25 is: 1,564,914,561.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,632,229.16 : 743,911,436.25 = 743,911,436.25 : x
  2. Step 2: Convert to fraction form
    353,632,229.16/743,911,436.25 = 743,911,436.25/x
  3. Step 3: Cross multiply
    353,632,229.16x = 743,911,436.25 × 743,911,436.25
  4. Step 4: Simplify right side
    353,632,229.16x = 553,404,224,983,537,792
  5. Step 5: Solve for x
    x = 553,404,224,983,537,792/353,632,229.16
  6. Step 6: Final answer
    x = 1,564,914,561.96

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.