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Finding the Third Proportional to 24,016,466,630,019 and 33,820,477,271,042

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Solution

The third proportional to 24,016,466,630,019 and 33,820,477,271,042 is: 47,626,684,660,239.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,016,466,630,019 : 33,820,477,271,042 = 33,820,477,271,042 : x
  2. Step 2: Convert to fraction form
    24,016,466,630,019/33,820,477,271,042 = 33,820,477,271,042/x
  3. Step 3: Cross multiply
    24,016,466,630,019x = 33,820,477,271,042 × 33,820,477,271,042
  4. Step 4: Simplify right side
    24,016,466,630,019x = 1,143,824,682,841,068,557,702,266,880
  5. Step 5: Solve for x
    x = 1,143,824,682,841,068,557,702,266,880/24,016,466,630,019
  6. Step 6: Final answer
    x = 47,626,684,660,239.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.