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Finding the Third Proportional to 30,291,575 and 65,202,094

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Solution

The third proportional to 30,291,575 and 65,202,094 is: 140,346,385.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291,575 : 65,202,094 = 65,202,094 : x
  2. Step 2: Convert to fraction form
    30,291,575/65,202,094 = 65,202,094/x
  3. Step 3: Cross multiply
    30,291,575x = 65,202,094 × 65,202,094
  4. Step 4: Simplify right side
    30,291,575x = 4,251,313,061,984,836
  5. Step 5: Solve for x
    x = 4,251,313,061,984,836/30,291,575
  6. Step 6: Final answer
    x = 140,346,385.49

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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.