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Finding the Third Proportional to 4,674,908,448,000 and 10,053,374,541,912

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Solution

The third proportional to 4,674,908,448,000 and 10,053,374,541,912 is: 21,619,747,382,048.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674,908,448,000 : 10,053,374,541,912 = 10,053,374,541,912 : x
  2. Step 2: Convert to fraction form
    4,674,908,448,000/10,053,374,541,912 = 10,053,374,541,912/x
  3. Step 3: Cross multiply
    4,674,908,448,000x = 10,053,374,541,912 × 10,053,374,541,912
  4. Step 4: Simplify right side
    4,674,908,448,000x = 101,070,339,679,964,318,528,438,272
  5. Step 5: Solve for x
    x = 101,070,339,679,964,318,528,438,272/4,674,908,448,000
  6. Step 6: Final answer
    x = 21,619,747,382,048.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.