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Finding the Third Proportional to 804,138,327 and 1,750,669,458

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Solution

The third proportional to 804,138,327 and 1,750,669,458 is: 3,811,338,731.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,138,327 : 1,750,669,458 = 1,750,669,458 : x
  2. Step 2: Convert to fraction form
    804,138,327/1,750,669,458 = 1,750,669,458/x
  3. Step 3: Cross multiply
    804,138,327x = 1,750,669,458 × 1,750,669,458
  4. Step 4: Simplify right side
    804,138,327x = 3,064,843,551,174,013,952
  5. Step 5: Solve for x
    x = 3,064,843,551,174,013,952/804,138,327
  6. Step 6: Final answer
    x = 3,811,338,731.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.