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Finding the Third Proportional to 569,852,869 and 851,424,775

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Solution

The third proportional to 569,852,869 and 851,424,775 is: 1,272,125,116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,852,869 : 851,424,775 = 851,424,775 : x
  2. Step 2: Convert to fraction form
    569,852,869/851,424,775 = 851,424,775/x
  3. Step 3: Cross multiply
    569,852,869x = 851,424,775 × 851,424,775
  4. Step 4: Simplify right side
    569,852,869x = 724,924,147,483,800,576
  5. Step 5: Solve for x
    x = 724,924,147,483,800,576/569,852,869
  6. Step 6: Final answer
    x = 1,272,125,116.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.