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Finding the Third Proportional to 10,768,749 and 23,051,209.50

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Solution

The third proportional to 10,768,749 and 23,051,209.50 is: 49,342,617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768,749 : 23,051,209.50 = 23,051,209.50 : x
  2. Step 2: Convert to fraction form
    10,768,749/23,051,209.50 = 23,051,209.50/x
  3. Step 3: Cross multiply
    10,768,749x = 23,051,209.50 × 23,051,209.50
  4. Step 4: Simplify right side
    10,768,749x = 531,358,259,412,890.25
  5. Step 5: Solve for x
    x = 531,358,259,412,890.25/10,768,749
  6. Step 6: Final answer
    x = 49,342,617.18

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