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Finding the Third Proportional to 7,137,211,974 and 15,460,619,826

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Solution

The third proportional to 7,137,211,974 and 15,460,619,826 is: 33,490,775,708.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137,211,974 : 15,460,619,826 = 15,460,619,826 : x
  2. Step 2: Convert to fraction form
    7,137,211,974/15,460,619,826 = 15,460,619,826/x
  3. Step 3: Cross multiply
    7,137,211,974x = 15,460,619,826 × 15,460,619,826
  4. Step 4: Simplify right side
    7,137,211,974x = 239,030,765,404,104,261,632
  5. Step 5: Solve for x
    x = 239,030,765,404,104,261,632/7,137,211,974
  6. Step 6: Final answer
    x = 33,490,775,708.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.