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Finding the Third Proportional to 45,278,946 and 70,608,840.75

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Solution

The third proportional to 45,278,946 and 70,608,840.75 is: 110,108,755.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,278,946 : 70,608,840.75 = 70,608,840.75 : x
  2. Step 2: Convert to fraction form
    45,278,946/70,608,840.75 = 70,608,840.75/x
  3. Step 3: Cross multiply
    45,278,946x = 70,608,840.75 × 70,608,840.75
  4. Step 4: Simplify right side
    45,278,946x = 4,985,608,392,058,861
  5. Step 5: Solve for x
    x = 4,985,608,392,058,861/45,278,946
  6. Step 6: Final answer
    x = 110,108,755.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.