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Finding the Third Proportional to 1,204,436,364 and 1,841,272,410

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Solution

The third proportional to 1,204,436,364 and 1,841,272,410 is: 2,814,830,396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204,436,364 : 1,841,272,410 = 1,841,272,410 : x
  2. Step 2: Convert to fraction form
    1,204,436,364/1,841,272,410 = 1,841,272,410/x
  3. Step 3: Cross multiply
    1,204,436,364x = 1,841,272,410 × 1,841,272,410
  4. Step 4: Simplify right side
    1,204,436,364x = 3,390,284,087,827,208,192
  5. Step 5: Solve for x
    x = 3,390,284,087,827,208,192/1,204,436,364
  6. Step 6: Final answer
    x = 2,814,830,396.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.