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Finding the Third Proportional to 19,781,287 and 41,688,014

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Solution

The third proportional to 19,781,287 and 41,688,014 is: 87,855,280.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781,287 : 41,688,014 = 41,688,014 : x
  2. Step 2: Convert to fraction form
    19,781,287/41,688,014 = 41,688,014/x
  3. Step 3: Cross multiply
    19,781,287x = 41,688,014 × 41,688,014
  4. Step 4: Simplify right side
    19,781,287x = 1,737,890,511,264,196
  5. Step 5: Solve for x
    x = 1,737,890,511,264,196/19,781,287
  6. Step 6: Final answer
    x = 87,855,280.16

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.