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Finding the Third Proportional to 628,519,980 and 1,481,596,347

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Solution

The third proportional to 628,519,980 and 1,481,596,347 is: 3,492,534,533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,519,980 : 1,481,596,347 = 1,481,596,347 : x
  2. Step 2: Convert to fraction form
    628,519,980/1,481,596,347 = 1,481,596,347/x
  3. Step 3: Cross multiply
    628,519,980x = 1,481,596,347 × 1,481,596,347
  4. Step 4: Simplify right side
    628,519,980x = 2,195,127,735,443,744,512
  5. Step 5: Solve for x
    x = 2,195,127,735,443,744,512/628,519,980
  6. Step 6: Final answer
    x = 3,492,534,533.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.