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Finding the Third Proportional to 804,352,545.84 and 1,731,959,878.22

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Solution

The third proportional to 804,352,545.84 and 1,731,959,878.22 is: 3,729,316,249.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,352,545.84 : 1,731,959,878.22 = 1,731,959,878.22 : x
  2. Step 2: Convert to fraction form
    804,352,545.84/1,731,959,878.22 = 1,731,959,878.22/x
  3. Step 3: Cross multiply
    804,352,545.84x = 1,731,959,878.22 × 1,731,959,878.22
  4. Step 4: Simplify right side
    804,352,545.84x = 2,999,685,019,759,680,512
  5. Step 5: Solve for x
    x = 2,999,685,019,759,680,512/804,352,545.84
  6. Step 6: Final answer
    x = 3,729,316,249.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.