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Finding the Third Proportional to 66,367,079,396 and 97,030,990,815

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Solution

The third proportional to 66,367,079,396 and 97,030,990,815 is: 141,862,701,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,367,079,396 : 97,030,990,815 = 97,030,990,815 : x
  2. Step 2: Convert to fraction form
    66,367,079,396/97,030,990,815 = 97,030,990,815/x
  3. Step 3: Cross multiply
    66,367,079,396x = 97,030,990,815 × 97,030,990,815
  4. Step 4: Simplify right side
    66,367,079,396x = 9,415,013,178,540,613,959,680
  5. Step 5: Solve for x
    x = 9,415,013,178,540,613,959,680/66,367,079,396
  6. Step 6: Final answer
    x = 141,862,701,571.71

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.