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Finding the Third Proportional to 71,577,534 and 109,448,038

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Solution

The third proportional to 71,577,534 and 109,448,038 is: 167,355,207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,577,534 : 109,448,038 = 109,448,038 : x
  2. Step 2: Convert to fraction form
    71,577,534/109,448,038 = 109,448,038/x
  3. Step 3: Cross multiply
    71,577,534x = 109,448,038 × 109,448,038
  4. Step 4: Simplify right side
    71,577,534x = 11,978,873,022,049,444
  5. Step 5: Solve for x
    x = 11,978,873,022,049,444/71,577,534
  6. Step 6: Final answer
    x = 167,355,207.04

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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.