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Finding the Third Proportional to 1,401,868,756 and 2,991,373,370

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Solution

The third proportional to 1,401,868,756 and 2,991,373,370 is: 6,383,132,943.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401,868,756 : 2,991,373,370 = 2,991,373,370 : x
  2. Step 2: Convert to fraction form
    1,401,868,756/2,991,373,370 = 2,991,373,370/x
  3. Step 3: Cross multiply
    1,401,868,756x = 2,991,373,370 × 2,991,373,370
  4. Step 4: Simplify right side
    1,401,868,756x = 8,948,314,638,745,156,608
  5. Step 5: Solve for x
    x = 8,948,314,638,745,156,608/1,401,868,756
  6. Step 6: Final answer
    x = 6,383,132,943.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.