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Finding the Third Proportional to 289,618,721,877 and 623,500,200,042

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Solution

The third proportional to 289,618,721,877 and 623,500,200,042 is: 1,342,290,639,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,618,721,877 : 623,500,200,042 = 623,500,200,042 : x
  2. Step 2: Convert to fraction form
    289,618,721,877/623,500,200,042 = 623,500,200,042/x
  3. Step 3: Cross multiply
    289,618,721,877x = 623,500,200,042 × 623,500,200,042
  4. Step 4: Simplify right side
    289,618,721,877x = 388,752,499,452,414,017,929,216
  5. Step 5: Solve for x
    x = 388,752,499,452,414,017,929,216/289,618,721,877
  6. Step 6: Final answer
    x = 1,342,290,639,682.87

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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.