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Finding the Third Proportional to 71,577,548 and 109,448,058

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Solution

The third proportional to 71,577,548 and 109,448,058 is: 167,355,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,577,548 : 109,448,058 = 109,448,058 : x
  2. Step 2: Convert to fraction form
    71,577,548/109,448,058 = 109,448,058/x
  3. Step 3: Cross multiply
    71,577,548x = 109,448,058 × 109,448,058
  4. Step 4: Simplify right side
    71,577,548x = 11,978,877,399,971,364
  5. Step 5: Solve for x
    x = 11,978,877,399,971,364/71,577,548
  6. Step 6: Final answer
    x = 167,355,235.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.