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Finding the Third Proportional to 10,268,076,328 and 22,504,610,120

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Solution

The third proportional to 10,268,076,328 and 22,504,610,120 is: 49,323,501,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,268,076,328 : 22,504,610,120 = 22,504,610,120 : x
  2. Step 2: Convert to fraction form
    10,268,076,328/22,504,610,120 = 22,504,610,120/x
  3. Step 3: Cross multiply
    10,268,076,328x = 22,504,610,120 × 22,504,610,120
  4. Step 4: Simplify right side
    10,268,076,328x = 506,457,476,653,206,405,120
  5. Step 5: Solve for x
    x = 506,457,476,653,206,405,120/10,268,076,328
  6. Step 6: Final answer
    x = 49,323,501,352.65

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Why These Related Problems?

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