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Finding the Third Proportional to 46,571,829 and 71,800,825

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Solution

The third proportional to 46,571,829 and 71,800,825 is: 110,696,929.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,571,829 : 71,800,825 = 71,800,825 : x
  2. Step 2: Convert to fraction form
    46,571,829/71,800,825 = 71,800,825/x
  3. Step 3: Cross multiply
    46,571,829x = 71,800,825 × 71,800,825
  4. Step 4: Simplify right side
    46,571,829x = 5,155,358,470,680,625
  5. Step 5: Solve for x
    x = 5,155,358,470,680,625/46,571,829
  6. Step 6: Final answer
    x = 110,696,929.48

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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.