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Finding the Third Proportional to 46,571,825 and 71,800,819

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Solution

The third proportional to 46,571,825 and 71,800,819 is: 110,696,920.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,571,825 : 71,800,819 = 71,800,819 : x
  2. Step 2: Convert to fraction form
    46,571,825/71,800,819 = 71,800,819/x
  3. Step 3: Cross multiply
    46,571,825x = 71,800,819 × 71,800,819
  4. Step 4: Simplify right side
    46,571,825x = 5,155,357,609,070,761
  5. Step 5: Solve for x
    x = 5,155,357,609,070,761/46,571,825
  6. Step 6: Final answer
    x = 110,696,920.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.