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Finding the Third Proportional to 1,935,170,665 and 2,988,303,674

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Solution

The third proportional to 1,935,170,665 and 2,988,303,674 is: 4,614,558,813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935,170,665 : 2,988,303,674 = 2,988,303,674 : x
  2. Step 2: Convert to fraction form
    1,935,170,665/2,988,303,674 = 2,988,303,674/x
  3. Step 3: Cross multiply
    1,935,170,665x = 2,988,303,674 × 2,988,303,674
  4. Step 4: Simplify right side
    1,935,170,665x = 8,929,958,848,041,897,984
  5. Step 5: Solve for x
    x = 8,929,958,848,041,897,984/1,935,170,665
  6. Step 6: Final answer
    x = 4,614,558,813.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.