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Finding the Third Proportional to 30,665,146 and 65,585,114

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Solution

The third proportional to 30,665,146 and 65,585,114 is: 140,270,233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,665,146 : 65,585,114 = 65,585,114 : x
  2. Step 2: Convert to fraction form
    30,665,146/65,585,114 = 65,585,114/x
  3. Step 3: Cross multiply
    30,665,146x = 65,585,114 × 65,585,114
  4. Step 4: Simplify right side
    30,665,146x = 4,301,407,178,392,996
  5. Step 5: Solve for x
    x = 4,301,407,178,392,996/30,665,146
  6. Step 6: Final answer
    x = 140,270,233.13

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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.