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Finding the Third Proportional to 268,046,109 and 583,556,486

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Solution

The third proportional to 268,046,109 and 583,556,486 is: 1,270,446,243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,046,109 : 583,556,486 = 583,556,486 : x
  2. Step 2: Convert to fraction form
    268,046,109/583,556,486 = 583,556,486/x
  3. Step 3: Cross multiply
    268,046,109x = 583,556,486 × 583,556,486
  4. Step 4: Simplify right side
    268,046,109x = 340,538,172,352,668,224
  5. Step 5: Solve for x
    x = 340,538,172,352,668,224/268,046,109
  6. Step 6: Final answer
    x = 1,270,446,243.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.