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Finding the Third Proportional to 30,483,648 and 65,753,280

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Solution

The third proportional to 30,483,648 and 65,753,280 is: 141,829,935.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,483,648 : 65,753,280 = 65,753,280 : x
  2. Step 2: Convert to fraction form
    30,483,648/65,753,280 = 65,753,280/x
  3. Step 3: Cross multiply
    30,483,648x = 65,753,280 × 65,753,280
  4. Step 4: Simplify right side
    30,483,648x = 4,323,493,830,758,400
  5. Step 5: Solve for x
    x = 4,323,493,830,758,400/30,483,648
  6. Step 6: Final answer
    x = 141,829,935.54

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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.