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Finding the Third Proportional to 24,016,466,630,020 and 33,820,477,271,044

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Solution

The third proportional to 24,016,466,630,020 and 33,820,477,271,044 is: 47,626,684,660,242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,016,466,630,020 : 33,820,477,271,044 = 33,820,477,271,044 : x
  2. Step 2: Convert to fraction form
    24,016,466,630,020/33,820,477,271,044 = 33,820,477,271,044/x
  3. Step 3: Cross multiply
    24,016,466,630,020x = 33,820,477,271,044 × 33,820,477,271,044
  4. Step 4: Simplify right side
    24,016,466,630,020x = 1,143,824,682,841,203,797,632,483,328
  5. Step 5: Solve for x
    x = 1,143,824,682,841,203,797,632,483,328/24,016,466,630,020
  6. Step 6: Final answer
    x = 47,626,684,660,242.68

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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.