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Finding the Third Proportional to 11,076,176,118 and 23,832,258,871

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Solution

The third proportional to 11,076,176,118 and 23,832,258,871 is: 51,279,119,873.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,076,176,118 : 23,832,258,871 = 23,832,258,871 : x
  2. Step 2: Convert to fraction form
    11,076,176,118/23,832,258,871 = 23,832,258,871/x
  3. Step 3: Cross multiply
    11,076,176,118x = 23,832,258,871 × 23,832,258,871
  4. Step 4: Simplify right side
    11,076,176,118x = 567,976,562,894,358,183,936
  5. Step 5: Solve for x
    x = 567,976,562,894,358,183,936/11,076,176,118
  6. Step 6: Final answer
    x = 51,279,119,873.45

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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.