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Finding the Third Proportional to 289,618,721,888 and 623,500,200,064

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Solution

The third proportional to 289,618,721,888 and 623,500,200,064 is: 1,342,290,639,726.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,618,721,888 : 623,500,200,064 = 623,500,200,064 : x
  2. Step 2: Convert to fraction form
    289,618,721,888/623,500,200,064 = 623,500,200,064/x
  3. Step 3: Cross multiply
    289,618,721,888x = 623,500,200,064 × 623,500,200,064
  4. Step 4: Simplify right side
    289,618,721,888x = 388,752,499,479,848,054,423,552
  5. Step 5: Solve for x
    x = 388,752,499,479,848,054,423,552/289,618,721,888
  6. Step 6: Final answer
    x = 1,342,290,639,726.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.