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Finding the Third Proportional to 3,658,969,382.63 and 4,936,808,737.69

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Solution

The third proportional to 3,658,969,382.63 and 4,936,808,737.69 is: 6,660,914,034.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658,969,382.63 : 4,936,808,737.69 = 4,936,808,737.69 : x
  2. Step 2: Convert to fraction form
    3,658,969,382.63/4,936,808,737.69 = 4,936,808,737.69/x
  3. Step 3: Cross multiply
    3,658,969,382.63x = 4,936,808,737.69 × 4,936,808,737.69
  4. Step 4: Simplify right side
    3,658,969,382.63x = 24,372,080,512,507,645,952
  5. Step 5: Solve for x
    x = 24,372,080,512,507,645,952/3,658,969,382.63
  6. Step 6: Final answer
    x = 6,660,914,034.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.