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Finding the Third Proportional to 332,141,091 and 713,572,989

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Solution

The third proportional to 332,141,091 and 713,572,989 is: 1,533,042,506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,141,091 : 713,572,989 = 713,572,989 : x
  2. Step 2: Convert to fraction form
    332,141,091/713,572,989 = 713,572,989/x
  3. Step 3: Cross multiply
    332,141,091x = 713,572,989 × 713,572,989
  4. Step 4: Simplify right side
    332,141,091x = 509,186,410,630,394,112
  5. Step 5: Solve for x
    x = 509,186,410,630,394,112/332,141,091
  6. Step 6: Final answer
    x = 1,533,042,506.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.