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Finding the Third Proportional to 3,290,738,482 and 7,118,217,602

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Solution

The third proportional to 3,290,738,482 and 7,118,217,602 is: 15,397,462,334.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290,738,482 : 7,118,217,602 = 7,118,217,602 : x
  2. Step 2: Convert to fraction form
    3,290,738,482/7,118,217,602 = 7,118,217,602/x
  3. Step 3: Cross multiply
    3,290,738,482x = 7,118,217,602 × 7,118,217,602
  4. Step 4: Simplify right side
    3,290,738,482x = 50,669,021,829,422,628,864
  5. Step 5: Solve for x
    x = 50,669,021,829,422,628,864/3,290,738,482
  6. Step 6: Final answer
    x = 15,397,462,334.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.