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Finding the Third Proportional to 1,991,152,800 and 2,868,129,648

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Solution

The third proportional to 1,991,152,800 and 2,868,129,648 is: 4,131,359,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991,152,800 : 2,868,129,648 = 2,868,129,648 : x
  2. Step 2: Convert to fraction form
    1,991,152,800/2,868,129,648 = 2,868,129,648/x
  3. Step 3: Cross multiply
    1,991,152,800x = 2,868,129,648 × 2,868,129,648
  4. Step 4: Simplify right side
    1,991,152,800x = 8,226,167,677,736,603,648
  5. Step 5: Solve for x
    x = 8,226,167,677,736,603,648/1,991,152,800
  6. Step 6: Final answer
    x = 4,131,359,319.96

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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.