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Finding the Third Proportional to 8,638,098 and 18,898,440

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Solution

The third proportional to 8,638,098 and 18,898,440 is: 41,346,027.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638,098 : 18,898,440 = 18,898,440 : x
  2. Step 2: Convert to fraction form
    8,638,098/18,898,440 = 18,898,440/x
  3. Step 3: Cross multiply
    8,638,098x = 18,898,440 × 18,898,440
  4. Step 4: Simplify right side
    8,638,098x = 357,151,034,433,600
  5. Step 5: Solve for x
    x = 357,151,034,433,600/8,638,098
  6. Step 6: Final answer
    x = 41,346,027.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.