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Finding the Third Proportional to 1,363,856,211 and 1,994,765,980.50

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Solution

The third proportional to 1,363,856,211 and 1,994,765,980.50 is: 2,917,529,930.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363,856,211 : 1,994,765,980.50 = 1,994,765,980.50 : x
  2. Step 2: Convert to fraction form
    1,363,856,211/1,994,765,980.50 = 1,994,765,980.50/x
  3. Step 3: Cross multiply
    1,363,856,211x = 1,994,765,980.50 × 1,994,765,980.50
  4. Step 4: Simplify right side
    1,363,856,211x = 3,979,091,316,960,126,464
  5. Step 5: Solve for x
    x = 3,979,091,316,960,126,464/1,363,856,211
  6. Step 6: Final answer
    x = 2,917,529,930.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.