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Finding the Third Proportional to 626,215,576 and 1,236,624,473.50

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Solution

The third proportional to 626,215,576 and 1,236,624,473.50 is: 2,442,034,575.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    626,215,576 : 1,236,624,473.50 = 1,236,624,473.50 : x
  2. Step 2: Convert to fraction form
    626,215,576/1,236,624,473.50 = 1,236,624,473.50/x
  3. Step 3: Cross multiply
    626,215,576x = 1,236,624,473.50 × 1,236,624,473.50
  4. Step 4: Simplify right side
    626,215,576x = 1,529,240,088,459,152,128
  5. Step 5: Solve for x
    x = 1,529,240,088,459,152,128/626,215,576
  6. Step 6: Final answer
    x = 2,442,034,575.74

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.