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Finding the Third Proportional to 71,778,824 and 107,641,884

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Solution

The third proportional to 71,778,824 and 107,641,884 is: 161,423,307.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,778,824 : 107,641,884 = 107,641,884 : x
  2. Step 2: Convert to fraction form
    71,778,824/107,641,884 = 107,641,884/x
  3. Step 3: Cross multiply
    71,778,824x = 107,641,884 × 107,641,884
  4. Step 4: Simplify right side
    71,778,824x = 11,586,775,191,069,456
  5. Step 5: Solve for x
    x = 11,586,775,191,069,456/71,778,824
  6. Step 6: Final answer
    x = 161,423,307.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.