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Finding the Third Proportional to 38,017,990,656 and 79,164,702,276

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Solution

The third proportional to 38,017,990,656 and 79,164,702,276 is: 164,844,327,075.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,017,990,656 : 79,164,702,276 = 79,164,702,276 : x
  2. Step 2: Convert to fraction form
    38,017,990,656/79,164,702,276 = 79,164,702,276/x
  3. Step 3: Cross multiply
    38,017,990,656x = 79,164,702,276 × 79,164,702,276
  4. Step 4: Simplify right side
    38,017,990,656x = 6,267,050,086,447,719,645,184
  5. Step 5: Solve for x
    x = 6,267,050,086,447,719,645,184/38,017,990,656
  6. Step 6: Final answer
    x = 164,844,327,075.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.