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Finding the Third Proportional to 775,888,173 and 1,693,991,934

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Solution

The third proportional to 775,888,173 and 1,693,991,934 is: 3,698,482,297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,888,173 : 1,693,991,934 = 1,693,991,934 : x
  2. Step 2: Convert to fraction form
    775,888,173/1,693,991,934 = 1,693,991,934/x
  3. Step 3: Cross multiply
    775,888,173x = 1,693,991,934 × 1,693,991,934
  4. Step 4: Simplify right side
    775,888,173x = 2,869,608,672,457,060,352
  5. Step 5: Solve for x
    x = 2,869,608,672,457,060,352/775,888,173
  6. Step 6: Final answer
    x = 3,698,482,297.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.