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Finding the Third Proportional to 30,335,941 and 65,520,157

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Solution

The third proportional to 30,335,941 and 65,520,157 is: 141,511,712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,335,941 : 65,520,157 = 65,520,157 : x
  2. Step 2: Convert to fraction form
    30,335,941/65,520,157 = 65,520,157/x
  3. Step 3: Cross multiply
    30,335,941x = 65,520,157 × 65,520,157
  4. Step 4: Simplify right side
    30,335,941x = 4,292,890,973,304,649
  5. Step 5: Solve for x
    x = 4,292,890,973,304,649/30,335,941
  6. Step 6: Final answer
    x = 141,511,712.90

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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.