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Finding the Third Proportional to 1,962,289,458 and 3,016,180,793

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Solution

The third proportional to 1,962,289,458 and 3,016,180,793 is: 4,636,087,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962,289,458 : 3,016,180,793 = 3,016,180,793 : x
  2. Step 2: Convert to fraction form
    1,962,289,458/3,016,180,793 = 3,016,180,793/x
  3. Step 3: Cross multiply
    1,962,289,458x = 3,016,180,793 × 3,016,180,793
  4. Step 4: Simplify right side
    1,962,289,458x = 9,097,346,576,062,108,672
  5. Step 5: Solve for x
    x = 9,097,346,576,062,108,672/1,962,289,458
  6. Step 6: Final answer
    x = 4,636,087,983.34

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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.