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Finding the Third Proportional to 38,580,894 and 83,219,454

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Solution

The third proportional to 38,580,894 and 83,219,454 is: 179,505,366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,580,894 : 83,219,454 = 83,219,454 : x
  2. Step 2: Convert to fraction form
    38,580,894/83,219,454 = 83,219,454/x
  3. Step 3: Cross multiply
    38,580,894x = 83,219,454 × 83,219,454
  4. Step 4: Simplify right side
    38,580,894x = 6,925,477,524,058,116
  5. Step 5: Solve for x
    x = 6,925,477,524,058,116/38,580,894
  6. Step 6: Final answer
    x = 179,505,366.67

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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.