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Finding the Third Proportional to 1,978,439,946,913.50 and 4,285,402,137,147

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Solution

The third proportional to 1,978,439,946,913.50 and 4,285,402,137,147 is: 9,282,400,259,716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978,439,946,913.50 : 4,285,402,137,147 = 4,285,402,137,147 : x
  2. Step 2: Convert to fraction form
    1,978,439,946,913.50/4,285,402,137,147 = 4,285,402,137,147/x
  3. Step 3: Cross multiply
    1,978,439,946,913.50x = 4,285,402,137,147 × 4,285,402,137,147
  4. Step 4: Simplify right side
    1,978,439,946,913.50x = 18,364,671,477,064,076,038,766,592
  5. Step 5: Solve for x
    x = 18,364,671,477,064,076,038,766,592/1,978,439,946,913.50
  6. Step 6: Final answer
    x = 9,282,400,259,716.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.