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Finding the Third Proportional to 802,490,188 and 1,627,544,574

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Solution

The third proportional to 802,490,188 and 1,627,544,574 is: 3,300,851,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,490,188 : 1,627,544,574 = 1,627,544,574 : x
  2. Step 2: Convert to fraction form
    802,490,188/1,627,544,574 = 1,627,544,574/x
  3. Step 3: Cross multiply
    802,490,188x = 1,627,544,574 × 1,627,544,574
  4. Step 4: Simplify right side
    802,490,188x = 2,648,901,340,356,841,472
  5. Step 5: Solve for x
    x = 2,648,901,340,356,841,472/802,490,188
  6. Step 6: Final answer
    x = 3,300,851,997.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.