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Finding the Third Proportional to 663,812,346 and 959,011,638

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Solution

The third proportional to 663,812,346 and 959,011,638 is: 1,385,486,918.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,812,346 : 959,011,638 = 959,011,638 : x
  2. Step 2: Convert to fraction form
    663,812,346/959,011,638 = 959,011,638/x
  3. Step 3: Cross multiply
    663,812,346x = 959,011,638 × 959,011,638
  4. Step 4: Simplify right side
    663,812,346x = 919,703,321,819,443,072
  5. Step 5: Solve for x
    x = 919,703,321,819,443,072/663,812,346
  6. Step 6: Final answer
    x = 1,385,486,918.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.