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Finding the Third Proportional to 69,670,624 and 147,647,276

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Solution

The third proportional to 69,670,624 and 147,647,276 is: 312,896,840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,670,624 : 147,647,276 = 147,647,276 : x
  2. Step 2: Convert to fraction form
    69,670,624/147,647,276 = 147,647,276/x
  3. Step 3: Cross multiply
    69,670,624x = 147,647,276 × 147,647,276
  4. Step 4: Simplify right side
    69,670,624x = 21,799,718,110,220,176
  5. Step 5: Solve for x
    x = 21,799,718,110,220,176/69,670,624
  6. Step 6: Final answer
    x = 312,896,840.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.