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Finding the Third Proportional to 66,367,079,418 and 97,030,990,840.50

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Solution

The third proportional to 66,367,079,418 and 97,030,990,840.50 is: 141,862,701,599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,367,079,418 : 97,030,990,840.50 = 97,030,990,840.50 : x
  2. Step 2: Convert to fraction form
    66,367,079,418/97,030,990,840.50 = 97,030,990,840.50/x
  3. Step 3: Cross multiply
    66,367,079,418x = 97,030,990,840.50 × 97,030,990,840.50
  4. Step 4: Simplify right side
    66,367,079,418x = 9,415,013,183,489,195,376,640
  5. Step 5: Solve for x
    x = 9,415,013,183,489,195,376,640/66,367,079,418
  6. Step 6: Final answer
    x = 141,862,701,599.25

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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.