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Finding the Third Proportional to 11,076,176,119 and 23,832,258,873

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Solution

The third proportional to 11,076,176,119 and 23,832,258,873 is: 51,279,119,877.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076,176,119 : 23,832,258,873 = 23,832,258,873 : x
  2. Step 2: Convert to fraction form
    11,076,176,119/23,832,258,873 = 23,832,258,873/x
  3. Step 3: Cross multiply
    11,076,176,119x = 23,832,258,873 × 23,832,258,873
  4. Step 4: Simplify right side
    11,076,176,119x = 567,976,562,989,687,242,752
  5. Step 5: Solve for x
    x = 567,976,562,989,687,242,752/11,076,176,119
  6. Step 6: Final answer
    x = 51,279,119,877.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.