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Finding the Third Proportional to 1,405,043,899,852.50 and 1,895,734,125,916

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Solution

The third proportional to 1,405,043,899,852.50 and 1,895,734,125,916 is: 2,557,790,455,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405,043,899,852.50 : 1,895,734,125,916 = 1,895,734,125,916 : x
  2. Step 2: Convert to fraction form
    1,405,043,899,852.50/1,895,734,125,916 = 1,895,734,125,916/x
  3. Step 3: Cross multiply
    1,405,043,899,852.50x = 1,895,734,125,916 × 1,895,734,125,916
  4. Step 4: Simplify right side
    1,405,043,899,852.50x = 3,593,807,876,162,500,773,806,080
  5. Step 5: Solve for x
    x = 3,593,807,876,162,500,773,806,080/1,405,043,899,852.50
  6. Step 6: Final answer
    x = 2,557,790,455,187.75

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.