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Finding the Third Proportional to 624,346,373,920.50 and 993,457,817,500.50

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Solution

The third proportional to 624,346,373,920.50 and 993,457,817,500.50 is: 1,580,786,685,690.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,346,373,920.50 : 993,457,817,500.50 = 993,457,817,500.50 : x
  2. Step 2: Convert to fraction form
    624,346,373,920.50/993,457,817,500.50 = 993,457,817,500.50/x
  3. Step 3: Cross multiply
    624,346,373,920.50x = 993,457,817,500.50 × 993,457,817,500.50
  4. Step 4: Simplify right side
    624,346,373,920.50x = 986,958,435,152,856,782,733,312
  5. Step 5: Solve for x
    x = 986,958,435,152,856,782,733,312/624,346,373,920.50
  6. Step 6: Final answer
    x = 1,580,786,685,690.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.