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Finding the Third Proportional to 25,134,835,960 and 54,682,598,888

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Solution

The third proportional to 25,134,835,960 and 54,682,598,888 is: 118,965,829,970.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,134,835,960 : 54,682,598,888 = 54,682,598,888 : x
  2. Step 2: Convert to fraction form
    25,134,835,960/54,682,598,888 = 54,682,598,888/x
  3. Step 3: Cross multiply
    25,134,835,960x = 54,682,598,888 × 54,682,598,888
  4. Step 4: Simplify right side
    25,134,835,960x = 2,990,186,621,145,898,811,392
  5. Step 5: Solve for x
    x = 2,990,186,621,145,898,811,392/25,134,835,960
  6. Step 6: Final answer
    x = 118,965,829,970.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.