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Finding the Third Proportional to 29,891,324,734 and 65,875,453,364

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Solution

The third proportional to 29,891,324,734 and 65,875,453,364 is: 145,178,421,984.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,891,324,734 : 65,875,453,364 = 65,875,453,364 : x
  2. Step 2: Convert to fraction form
    29,891,324,734/65,875,453,364 = 65,875,453,364/x
  3. Step 3: Cross multiply
    29,891,324,734x = 65,875,453,364 × 65,875,453,364
  4. Step 4: Simplify right side
    29,891,324,734x = 4,339,575,355,912,538,816,512
  5. Step 5: Solve for x
    x = 4,339,575,355,912,538,816,512/29,891,324,734
  6. Step 6: Final answer
    x = 145,178,421,984.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.