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Finding the Third Proportional to 1,402,947,420 and 1,961,403,067

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Solution

The third proportional to 1,402,947,420 and 1,961,403,067 is: 2,742,156,930.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,947,420 : 1,961,403,067 = 1,961,403,067 : x
  2. Step 2: Convert to fraction form
    1,402,947,420/1,961,403,067 = 1,961,403,067/x
  3. Step 3: Cross multiply
    1,402,947,420x = 1,961,403,067 × 1,961,403,067
  4. Step 4: Simplify right side
    1,402,947,420x = 3,847,101,991,237,006,336
  5. Step 5: Solve for x
    x = 3,847,101,991,237,006,336/1,402,947,420
  6. Step 6: Final answer
    x = 2,742,156,930.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.