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Finding the Third Proportional to 332,343,364 and 769,314,712

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Solution

The third proportional to 332,343,364 and 769,314,712 is: 1,780,824,262.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,343,364 : 769,314,712 = 769,314,712 : x
  2. Step 2: Convert to fraction form
    332,343,364/769,314,712 = 769,314,712/x
  3. Step 3: Cross multiply
    332,343,364x = 769,314,712 × 769,314,712
  4. Step 4: Simplify right side
    332,343,364x = 591,845,126,099,642,880
  5. Step 5: Solve for x
    x = 591,845,126,099,642,880/332,343,364
  6. Step 6: Final answer
    x = 1,780,824,262.52

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.