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Finding the Third Proportional to 1,062,008,010 and 1,662,298,686

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Solution

The third proportional to 1,062,008,010 and 1,662,298,686 is: 2,601,898,380.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062,008,010 : 1,662,298,686 = 1,662,298,686 : x
  2. Step 2: Convert to fraction form
    1,062,008,010/1,662,298,686 = 1,662,298,686/x
  3. Step 3: Cross multiply
    1,062,008,010x = 1,662,298,686 × 1,662,298,686
  4. Step 4: Simplify right side
    1,062,008,010x = 2,763,236,921,477,326,848
  5. Step 5: Solve for x
    x = 2,763,236,921,477,326,848/1,062,008,010
  6. Step 6: Final answer
    x = 2,601,898,380.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.