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Finding the Third Proportional to 369,920,205 and 804,961,008

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Solution

The third proportional to 369,920,205 and 804,961,008 is: 1,751,627,014.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,920,205 : 804,961,008 = 804,961,008 : x
  2. Step 2: Convert to fraction form
    369,920,205/804,961,008 = 804,961,008/x
  3. Step 3: Cross multiply
    369,920,205x = 804,961,008 × 804,961,008
  4. Step 4: Simplify right side
    369,920,205x = 647,962,224,400,376,064
  5. Step 5: Solve for x
    x = 647,962,224,400,376,064/369,920,205
  6. Step 6: Final answer
    x = 1,751,627,014.81

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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.