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Finding the Third Proportional to 272,355,273 and 582,575,712

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Solution

The third proportional to 272,355,273 and 582,575,712 is: 1,246,146,096.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,355,273 : 582,575,712 = 582,575,712 : x
  2. Step 2: Convert to fraction form
    272,355,273/582,575,712 = 582,575,712/x
  3. Step 3: Cross multiply
    272,355,273x = 582,575,712 × 582,575,712
  4. Step 4: Simplify right side
    272,355,273x = 339,394,460,212,306,944
  5. Step 5: Solve for x
    x = 339,394,460,212,306,944/272,355,273
  6. Step 6: Final answer
    x = 1,246,146,096.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.