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Finding the Third Proportional to 5,662,100,280 and 8,493,151,284

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Solution

The third proportional to 5,662,100,280 and 8,493,151,284 is: 12,739,728,222.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662,100,280 : 8,493,151,284 = 8,493,151,284 : x
  2. Step 2: Convert to fraction form
    5,662,100,280/8,493,151,284 = 8,493,151,284/x
  3. Step 3: Cross multiply
    5,662,100,280x = 8,493,151,284 × 8,493,151,284
  4. Step 4: Simplify right side
    5,662,100,280x = 72,133,618,732,910,845,952
  5. Step 5: Solve for x
    x = 72,133,618,732,910,845,952/5,662,100,280
  6. Step 6: Final answer
    x = 12,739,728,222.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.