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Finding the Third Proportional to 553,042,348.31 and 1,184,968,556.44

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Solution

The third proportional to 553,042,348.31 and 1,184,968,556.44 is: 2,538,956,526.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,042,348.31 : 1,184,968,556.44 = 1,184,968,556.44 : x
  2. Step 2: Convert to fraction form
    553,042,348.31/1,184,968,556.44 = 1,184,968,556.44/x
  3. Step 3: Cross multiply
    553,042,348.31x = 1,184,968,556.44 × 1,184,968,556.44
  4. Step 4: Simplify right side
    553,042,348.31x = 1,404,150,479,745,572,608
  5. Step 5: Solve for x
    x = 1,404,150,479,745,572,608/553,042,348.31
  6. Step 6: Final answer
    x = 2,538,956,526.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.