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Finding the Third Proportional to 1,353,644,948 and 1,826,384,862

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Solution

The third proportional to 1,353,644,948 and 1,826,384,862 is: 2,464,222,002.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353,644,948 : 1,826,384,862 = 1,826,384,862 : x
  2. Step 2: Convert to fraction form
    1,353,644,948/1,826,384,862 = 1,826,384,862/x
  3. Step 3: Cross multiply
    1,353,644,948x = 1,826,384,862 × 1,826,384,862
  4. Step 4: Simplify right side
    1,353,644,948x = 3,335,681,664,142,758,912
  5. Step 5: Solve for x
    x = 3,335,681,664,142,758,912/1,353,644,948
  6. Step 6: Final answer
    x = 2,464,222,002.28

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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.