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Finding the Third Proportional to 31,413,744,366 and 50,009,640,619.50

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Solution

The third proportional to 31,413,744,366 and 50,009,640,619.50 is: 79,613,691,566.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,413,744,366 : 50,009,640,619.50 = 50,009,640,619.50 : x
  2. Step 2: Convert to fraction form
    31,413,744,366/50,009,640,619.50 = 50,009,640,619.50/x
  3. Step 3: Cross multiply
    31,413,744,366x = 50,009,640,619.50 × 50,009,640,619.50
  4. Step 4: Simplify right side
    31,413,744,366x = 2,500,964,154,891,544,559,616
  5. Step 5: Solve for x
    x = 2,500,964,154,891,544,559,616/31,413,744,366
  6. Step 6: Final answer
    x = 79,613,691,566.12

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.