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Finding the Third Proportional to 1,607,610,635 and 3,447,826,490

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Solution

The third proportional to 1,607,610,635 and 3,447,826,490 is: 7,394,519,074.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607,610,635 : 3,447,826,490 = 3,447,826,490 : x
  2. Step 2: Convert to fraction form
    1,607,610,635/3,447,826,490 = 3,447,826,490/x
  3. Step 3: Cross multiply
    1,607,610,635x = 3,447,826,490 × 3,447,826,490
  4. Step 4: Simplify right side
    1,607,610,635x = 11,887,507,505,145,720,832
  5. Step 5: Solve for x
    x = 11,887,507,505,145,720,832/1,607,610,635
  6. Step 6: Final answer
    x = 7,394,519,074.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.