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Finding the Third Proportional to 30,291,511 and 65,201,966

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Solution

The third proportional to 30,291,511 and 65,201,966 is: 140,346,130.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,291,511 : 65,201,966 = 65,201,966 : x
  2. Step 2: Convert to fraction form
    30,291,511/65,201,966 = 65,201,966/x
  3. Step 3: Cross multiply
    30,291,511x = 65,201,966 × 65,201,966
  4. Step 4: Simplify right side
    30,291,511x = 4,251,296,370,265,156
  5. Step 5: Solve for x
    x = 4,251,296,370,265,156/30,291,511
  6. Step 6: Final answer
    x = 140,346,130.98

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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.