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Finding the Third Proportional to 1,861,782,912 and 2,776,529,205

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Solution

The third proportional to 1,861,782,912 and 2,776,529,205 is: 4,140,716,071.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861,782,912 : 2,776,529,205 = 2,776,529,205 : x
  2. Step 2: Convert to fraction form
    1,861,782,912/2,776,529,205 = 2,776,529,205/x
  3. Step 3: Cross multiply
    1,861,782,912x = 2,776,529,205 × 2,776,529,205
  4. Step 4: Simplify right side
    1,861,782,912x = 7,709,114,426,217,931,776
  5. Step 5: Solve for x
    x = 7,709,114,426,217,931,776/1,861,782,912
  6. Step 6: Final answer
    x = 4,140,716,071.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.