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Finding the Third Proportional to 1,991,130,556 and 2,868,290,682

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Solution

The third proportional to 1,991,130,556 and 2,868,290,682 is: 4,131,869,410.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991,130,556 : 2,868,290,682 = 2,868,290,682 : x
  2. Step 2: Convert to fraction form
    1,991,130,556/2,868,290,682 = 2,868,290,682/x
  3. Step 3: Cross multiply
    1,991,130,556x = 2,868,290,682 × 2,868,290,682
  4. Step 4: Simplify right side
    1,991,130,556x = 8,227,091,436,448,025,600
  5. Step 5: Solve for x
    x = 8,227,091,436,448,025,600/1,991,130,556
  6. Step 6: Final answer
    x = 4,131,869,410.40

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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.