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Finding the Third Proportional to 332,343,362 and 769,314,707

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Solution

The third proportional to 332,343,362 and 769,314,707 is: 1,780,824,250.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,343,362 : 769,314,707 = 769,314,707 : x
  2. Step 2: Convert to fraction form
    332,343,362/769,314,707 = 769,314,707/x
  3. Step 3: Cross multiply
    332,343,362x = 769,314,707 × 769,314,707
  4. Step 4: Simplify right side
    332,343,362x = 591,845,118,406,495,872
  5. Step 5: Solve for x
    x = 591,845,118,406,495,872/332,343,362
  6. Step 6: Final answer
    x = 1,780,824,250.09

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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.