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Finding the Third Proportional to 1,481,826,222 and 2,926,176,012

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Solution

The third proportional to 1,481,826,222 and 2,926,176,012 is: 5,778,346,965.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481,826,222 : 2,926,176,012 = 2,926,176,012 : x
  2. Step 2: Convert to fraction form
    1,481,826,222/2,926,176,012 = 2,926,176,012/x
  3. Step 3: Cross multiply
    1,481,826,222x = 2,926,176,012 × 2,926,176,012
  4. Step 4: Simplify right side
    1,481,826,222x = 8,562,506,053,204,224,000
  5. Step 5: Solve for x
    x = 8,562,506,053,204,224,000/1,481,826,222
  6. Step 6: Final answer
    x = 5,778,346,965.44

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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.