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Finding the Third Proportional to 842,343,961.05 and 1,314,509,885.27

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Solution

The third proportional to 842,343,961.05 and 1,314,509,885.27 is: 2,051,342,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,343,961.05 : 1,314,509,885.27 = 1,314,509,885.27 : x
  2. Step 2: Convert to fraction form
    842,343,961.05/1,314,509,885.27 = 1,314,509,885.27/x
  3. Step 3: Cross multiply
    842,343,961.05x = 1,314,509,885.27 × 1,314,509,885.27
  4. Step 4: Simplify right side
    842,343,961.05x = 1,727,936,238,462,032,640
  5. Step 5: Solve for x
    x = 1,727,936,238,462,032,640/842,343,961.05
  6. Step 6: Final answer
    x = 2,051,342,822.36

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.