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Finding the Third Proportional to 30,369,697 and 65,348,214

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Solution

The third proportional to 30,369,697 and 65,348,214 is: 140,613,489.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,369,697 : 65,348,214 = 65,348,214 : x
  2. Step 2: Convert to fraction form
    30,369,697/65,348,214 = 65,348,214/x
  3. Step 3: Cross multiply
    30,369,697x = 65,348,214 × 65,348,214
  4. Step 4: Simplify right side
    30,369,697x = 4,270,389,072,989,796
  5. Step 5: Solve for x
    x = 4,270,389,072,989,796/30,369,697
  6. Step 6: Final answer
    x = 140,613,489.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.