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Finding the Third Proportional to 5,506,404 and 11,809,968.75

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Solution

The third proportional to 5,506,404 and 11,809,968.75 is: 25,329,663.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506,404 : 11,809,968.75 = 11,809,968.75 : x
  2. Step 2: Convert to fraction form
    5,506,404/11,809,968.75 = 11,809,968.75/x
  3. Step 3: Cross multiply
    5,506,404x = 11,809,968.75 × 11,809,968.75
  4. Step 4: Simplify right side
    5,506,404x = 139,475,361,875,976.56
  5. Step 5: Solve for x
    x = 139,475,361,875,976.56/5,506,404
  6. Step 6: Final answer
    x = 25,329,663.77

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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.