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Finding the Third Proportional to 3,391,038,290 and 4,580,153,170

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Solution

The third proportional to 3,391,038,290 and 4,580,153,170 is: 6,186,247,770.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,391,038,290 : 4,580,153,170 = 4,580,153,170 : x
  2. Step 2: Convert to fraction form
    3,391,038,290/4,580,153,170 = 4,580,153,170/x
  3. Step 3: Cross multiply
    3,391,038,290x = 4,580,153,170 × 4,580,153,170
  4. Step 4: Simplify right side
    3,391,038,290x = 20,977,803,060,661,047,296
  5. Step 5: Solve for x
    x = 20,977,803,060,661,047,296/3,391,038,290
  6. Step 6: Final answer
    x = 6,186,247,770.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.