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Finding the Third Proportional to 20,971,640,159 and 46,003,497,849

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Solution

The third proportional to 20,971,640,159 and 46,003,497,849 is: 100,913,509,782.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,971,640,159 : 46,003,497,849 = 46,003,497,849 : x
  2. Step 2: Convert to fraction form
    20,971,640,159/46,003,497,849 = 46,003,497,849/x
  3. Step 3: Cross multiply
    20,971,640,159x = 46,003,497,849 × 46,003,497,849
  4. Step 4: Simplify right side
    20,971,640,159x = 2,116,321,814,342,947,569,664
  5. Step 5: Solve for x
    x = 2,116,321,814,342,947,569,664/20,971,640,159
  6. Step 6: Final answer
    x = 100,913,509,782.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.