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Finding the Third Proportional to 30,483,656 and 65,753,296

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Solution

The third proportional to 30,483,656 and 65,753,296 is: 141,829,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,483,656 : 65,753,296 = 65,753,296 : x
  2. Step 2: Convert to fraction form
    30,483,656/65,753,296 = 65,753,296/x
  3. Step 3: Cross multiply
    30,483,656x = 65,753,296 × 65,753,296
  4. Step 4: Simplify right side
    30,483,656x = 4,323,495,934,863,616
  5. Step 5: Solve for x
    x = 4,323,495,934,863,616/30,483,656
  6. Step 6: Final answer
    x = 141,829,967.34

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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.