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Finding the Third Proportional to 1,991,152,884 and 2,868,129,774

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Solution

The third proportional to 1,991,152,884 and 2,868,129,774 is: 4,131,359,508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991,152,884 : 2,868,129,774 = 2,868,129,774 : x
  2. Step 2: Convert to fraction form
    1,991,152,884/2,868,129,774 = 2,868,129,774/x
  3. Step 3: Cross multiply
    1,991,152,884x = 2,868,129,774 × 2,868,129,774
  4. Step 4: Simplify right side
    1,991,152,884x = 8,226,168,400,505,290,752
  5. Step 5: Solve for x
    x = 8,226,168,400,505,290,752/1,991,152,884
  6. Step 6: Final answer
    x = 4,131,359,508.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.