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Finding the Third Proportional to 614,008,149 and 1,335,597,016.50

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Solution

The third proportional to 614,008,149 and 1,335,597,016.50 is: 2,905,204,749.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,008,149 : 1,335,597,016.50 = 1,335,597,016.50 : x
  2. Step 2: Convert to fraction form
    614,008,149/1,335,597,016.50 = 1,335,597,016.50/x
  3. Step 3: Cross multiply
    614,008,149x = 1,335,597,016.50 × 1,335,597,016.50
  4. Step 4: Simplify right side
    614,008,149x = 1,783,819,390,483,701,248
  5. Step 5: Solve for x
    x = 1,783,819,390,483,701,248/614,008,149
  6. Step 6: Final answer
    x = 2,905,204,749.14

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.