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Finding the Third Proportional to 1,541,574,188 and 2,197,570,000

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Solution

The third proportional to 1,541,574,188 and 2,197,570,000 is: 3,132,715,857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541,574,188 : 2,197,570,000 = 2,197,570,000 : x
  2. Step 2: Convert to fraction form
    1,541,574,188/2,197,570,000 = 2,197,570,000/x
  3. Step 3: Cross multiply
    1,541,574,188x = 2,197,570,000 × 2,197,570,000
  4. Step 4: Simplify right side
    1,541,574,188x = 4,829,313,904,899,999,744
  5. Step 5: Solve for x
    x = 4,829,313,904,899,999,744/1,541,574,188
  6. Step 6: Final answer
    x = 3,132,715,857.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.