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Finding the Third Proportional to 1,729,692,144 and 3,731,482,080

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Solution

The third proportional to 1,729,692,144 and 3,731,482,080 is: 8,049,963,435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729,692,144 : 3,731,482,080 = 3,731,482,080 : x
  2. Step 2: Convert to fraction form
    1,729,692,144/3,731,482,080 = 3,731,482,080/x
  3. Step 3: Cross multiply
    1,729,692,144x = 3,731,482,080 × 3,731,482,080
  4. Step 4: Simplify right side
    1,729,692,144x = 13,923,958,513,361,125,376
  5. Step 5: Solve for x
    x = 13,923,958,513,361,125,376/1,729,692,144
  6. Step 6: Final answer
    x = 8,049,963,435.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.