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Finding the Third Proportional to 272,397,210,213 and 585,219,043,284.75

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Solution

The third proportional to 272,397,210,213 and 585,219,043,284.75 is: 1,257,286,476,448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,397,210,213 : 585,219,043,284.75 = 585,219,043,284.75 : x
  2. Step 2: Convert to fraction form
    272,397,210,213/585,219,043,284.75 = 585,219,043,284.75/x
  3. Step 3: Cross multiply
    272,397,210,213x = 585,219,043,284.75 × 585,219,043,284.75
  4. Step 4: Simplify right side
    272,397,210,213x = 342,481,328,623,118,100,463,616
  5. Step 5: Solve for x
    x = 342,481,328,623,118,100,463,616/272,397,210,213
  6. Step 6: Final answer
    x = 1,257,286,476,448.55

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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.