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Finding the Third Proportional to 419,833,874.25 and 911,031,328.69

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Solution

The third proportional to 419,833,874.25 and 911,031,328.69 is: 1,976,920,236.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,833,874.25 : 911,031,328.69 = 911,031,328.69 : x
  2. Step 2: Convert to fraction form
    419,833,874.25/911,031,328.69 = 911,031,328.69/x
  3. Step 3: Cross multiply
    419,833,874.25x = 911,031,328.69 × 911,031,328.69
  4. Step 4: Simplify right side
    419,833,874.25x = 829,978,081,850,111,616
  5. Step 5: Solve for x
    x = 829,978,081,850,111,616/419,833,874.25
  6. Step 6: Final answer
    x = 1,976,920,236.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.