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Finding the Third Proportional to 35,544,422,608 and 74,030,836,148

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Solution

The third proportional to 35,544,422,608 and 74,030,836,148 is: 154,189,161,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,544,422,608 : 74,030,836,148 = 74,030,836,148 : x
  2. Step 2: Convert to fraction form
    35,544,422,608/74,030,836,148 = 74,030,836,148/x
  3. Step 3: Cross multiply
    35,544,422,608x = 74,030,836,148 × 74,030,836,148
  4. Step 4: Simplify right side
    35,544,422,608x = 5,480,564,700,772,023,926,784
  5. Step 5: Solve for x
    x = 5,480,564,700,772,023,926,784/35,544,422,608
  6. Step 6: Final answer
    x = 154,189,161,017.30

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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.