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Finding the Third Proportional to 30,697,056 and 66,039,306

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Solution

The third proportional to 30,697,056 and 66,039,306 is: 142,071,928.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,697,056 : 66,039,306 = 66,039,306 : x
  2. Step 2: Convert to fraction form
    30,697,056/66,039,306 = 66,039,306/x
  3. Step 3: Cross multiply
    30,697,056x = 66,039,306 × 66,039,306
  4. Step 4: Simplify right side
    30,697,056x = 4,361,189,936,961,636
  5. Step 5: Solve for x
    x = 4,361,189,936,961,636/30,697,056
  6. Step 6: Final answer
    x = 142,071,928.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.