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Finding the Third Proportional to 1,861,276,968 and 4,032,745,623

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Solution

The third proportional to 1,861,276,968 and 4,032,745,623 is: 8,737,569,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,861,276,968 : 4,032,745,623 = 4,032,745,623 : x
  2. Step 2: Convert to fraction form
    1,861,276,968/4,032,745,623 = 4,032,745,623/x
  3. Step 3: Cross multiply
    1,861,276,968x = 4,032,745,623 × 4,032,745,623
  4. Step 4: Simplify right side
    1,861,276,968x = 16,263,037,259,825,657,856
  5. Step 5: Solve for x
    x = 16,263,037,259,825,657,856/1,861,276,968
  6. Step 6: Final answer
    x = 8,737,569,711.24

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Why These Related Problems?

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