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Finding the Third Proportional to 272,397,210,215 and 585,219,043,289

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Solution

The third proportional to 272,397,210,215 and 585,219,043,289 is: 1,257,286,476,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,397,210,215 : 585,219,043,289 = 585,219,043,289 : x
  2. Step 2: Convert to fraction form
    272,397,210,215/585,219,043,289 = 585,219,043,289/x
  3. Step 3: Cross multiply
    272,397,210,215x = 585,219,043,289 × 585,219,043,289
  4. Step 4: Simplify right side
    272,397,210,215x = 342,481,328,628,092,477,898,752
  5. Step 5: Solve for x
    x = 342,481,328,628,092,477,898,752/272,397,210,215
  6. Step 6: Final answer
    x = 1,257,286,476,457.58

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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.