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Finding the Third Proportional to 30,845,971,937 and 67,168,012,950

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Solution

The third proportional to 30,845,971,937 and 67,168,012,950 is: 146,260,327,697.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,845,971,937 : 67,168,012,950 = 67,168,012,950 : x
  2. Step 2: Convert to fraction form
    30,845,971,937/67,168,012,950 = 67,168,012,950/x
  3. Step 3: Cross multiply
    30,845,971,937x = 67,168,012,950 × 67,168,012,950
  4. Step 4: Simplify right side
    30,845,971,937x = 4,511,541,963,651,367,829,504
  5. Step 5: Solve for x
    x = 4,511,541,963,651,367,829,504/30,845,971,937
  6. Step 6: Final answer
    x = 146,260,327,697.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.