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Finding the Third Proportional to 30,680,370 and 65,615,906.25

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Solution

The third proportional to 30,680,370 and 65,615,906.25 is: 140,332,308.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,680,370 : 65,615,906.25 = 65,615,906.25 : x
  2. Step 2: Convert to fraction form
    30,680,370/65,615,906.25 = 65,615,906.25/x
  3. Step 3: Cross multiply
    30,680,370x = 65,615,906.25 × 65,615,906.25
  4. Step 4: Simplify right side
    30,680,370x = 4,305,447,153,008,789
  5. Step 5: Solve for x
    x = 4,305,447,153,008,789/30,680,370
  6. Step 6: Final answer
    x = 140,332,308.67

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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.