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Finding the Third Proportional to 30,335,966 and 65,520,207

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Solution

The third proportional to 30,335,966 and 65,520,207 is: 141,511,812.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,335,966 : 65,520,207 = 65,520,207 : x
  2. Step 2: Convert to fraction form
    30,335,966/65,520,207 = 65,520,207/x
  3. Step 3: Cross multiply
    30,335,966x = 65,520,207 × 65,520,207
  4. Step 4: Simplify right side
    30,335,966x = 4,292,897,525,322,849
  5. Step 5: Solve for x
    x = 4,292,897,525,322,849/30,335,966
  6. Step 6: Final answer
    x = 141,511,812.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.