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Finding the Third Proportional to 30,335,963 and 65,520,201

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Solution

The third proportional to 30,335,963 and 65,520,201 is: 141,511,800.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,335,963 : 65,520,201 = 65,520,201 : x
  2. Step 2: Convert to fraction form
    30,335,963/65,520,201 = 65,520,201/x
  3. Step 3: Cross multiply
    30,335,963x = 65,520,201 × 65,520,201
  4. Step 4: Simplify right side
    30,335,963x = 4,292,896,739,080,401
  5. Step 5: Solve for x
    x = 4,292,896,739,080,401/30,335,963
  6. Step 6: Final answer
    x = 141,511,800.34

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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.