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Finding the Third Proportional to 11,735,098 and 17,951,435

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Solution

The third proportional to 11,735,098 and 17,951,435 is: 27,460,701.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,735,098 : 17,951,435 = 17,951,435 : x
  2. Step 2: Convert to fraction form
    11,735,098/17,951,435 = 17,951,435/x
  3. Step 3: Cross multiply
    11,735,098x = 17,951,435 × 17,951,435
  4. Step 4: Simplify right side
    11,735,098x = 322,254,018,559,225
  5. Step 5: Solve for x
    x = 322,254,018,559,225/11,735,098
  6. Step 6: Final answer
    x = 27,460,701.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.