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Finding the Third Proportional to 10,268,076,084 and 22,504,609,632

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Solution

The third proportional to 10,268,076,084 and 22,504,609,632 is: 49,323,500,385.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,268,076,084 : 22,504,609,632 = 22,504,609,632 : x
  2. Step 2: Convert to fraction form
    10,268,076,084/22,504,609,632 = 22,504,609,632/x
  3. Step 3: Cross multiply
    10,268,076,084x = 22,504,609,632 × 22,504,609,632
  4. Step 4: Simplify right side
    10,268,076,084x = 506,457,454,688,707,149,824
  5. Step 5: Solve for x
    x = 506,457,454,688,707,149,824/10,268,076,084
  6. Step 6: Final answer
    x = 49,323,500,385.62

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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.