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Finding the Third Proportional to 784,725,346.50 and 1,682,117,823

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Solution

The third proportional to 784,725,346.50 and 1,682,117,823 is: 3,605,746,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,725,346.50 : 1,682,117,823 = 1,682,117,823 : x
  2. Step 2: Convert to fraction form
    784,725,346.50/1,682,117,823 = 1,682,117,823/x
  3. Step 3: Cross multiply
    784,725,346.50x = 1,682,117,823 × 1,682,117,823
  4. Step 4: Simplify right side
    784,725,346.50x = 2,829,520,370,454,259,200
  5. Step 5: Solve for x
    x = 2,829,520,370,454,259,200/784,725,346.50
  6. Step 6: Final answer
    x = 3,605,746,116.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.