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Finding the Third Proportional to 235,694,824 and 555,598,140

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Solution

The third proportional to 235,694,824 and 555,598,140 is: 1,309,699,075.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,694,824 : 555,598,140 = 555,598,140 : x
  2. Step 2: Convert to fraction form
    235,694,824/555,598,140 = 555,598,140/x
  3. Step 3: Cross multiply
    235,694,824x = 555,598,140 × 555,598,140
  4. Step 4: Simplify right side
    235,694,824x = 308,689,293,171,459,584
  5. Step 5: Solve for x
    x = 308,689,293,171,459,584/235,694,824
  6. Step 6: Final answer
    x = 1,309,699,075.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.