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Finding the Third Proportional to 2,276,456,157 and 5,076,343,058.63

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Solution

The third proportional to 2,276,456,157 and 5,076,343,058.63 is: 11,319,901,228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276,456,157 : 5,076,343,058.63 = 5,076,343,058.63 : x
  2. Step 2: Convert to fraction form
    2,276,456,157/5,076,343,058.63 = 5,076,343,058.63/x
  3. Step 3: Cross multiply
    2,276,456,157x = 5,076,343,058.63 × 5,076,343,058.63
  4. Step 4: Simplify right side
    2,276,456,157x = 25,769,258,848,850,219,008
  5. Step 5: Solve for x
    x = 25,769,258,848,850,219,008/2,276,456,157
  6. Step 6: Final answer
    x = 11,319,901,228.76

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.