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Finding the Third Proportional to 38,580,844 and 83,219,354

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Solution

The third proportional to 38,580,844 and 83,219,354 is: 179,505,167.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,580,844 : 83,219,354 = 83,219,354 : x
  2. Step 2: Convert to fraction form
    38,580,844/83,219,354 = 83,219,354/x
  3. Step 3: Cross multiply
    38,580,844x = 83,219,354 × 83,219,354
  4. Step 4: Simplify right side
    38,580,844x = 6,925,460,880,177,316
  5. Step 5: Solve for x
    x = 6,925,460,880,177,316/38,580,844
  6. Step 6: Final answer
    x = 179,505,167.91

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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.