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Finding the Third Proportional to 30,984,916,345,074 and 67,806,738,475,956

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Solution

The third proportional to 30,984,916,345,074 and 67,806,738,475,956 is: 148,386,838,665,054.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,984,916,345,074 : 67,806,738,475,956 = 67,806,738,475,956 : x
  2. Step 2: Convert to fraction form
    30,984,916,345,074/67,806,738,475,956 = 67,806,738,475,956/x
  3. Step 3: Cross multiply
    30,984,916,345,074x = 67,806,738,475,956 × 67,806,738,475,956
  4. Step 4: Simplify right side
    30,984,916,345,074x = 4,597,753,782,746,691,638,321,479,680
  5. Step 5: Solve for x
    x = 4,597,753,782,746,691,638,321,479,680/30,984,916,345,074
  6. Step 6: Final answer
    x = 148,386,838,665,054.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.