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Finding the Third Proportional to 6,430,098 and 13,869,765

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Solution

The third proportional to 6,430,098 and 13,869,765 is: 29,917,177.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430,098 : 13,869,765 = 13,869,765 : x
  2. Step 2: Convert to fraction form
    6,430,098/13,869,765 = 13,869,765/x
  3. Step 3: Cross multiply
    6,430,098x = 13,869,765 × 13,869,765
  4. Step 4: Simplify right side
    6,430,098x = 192,370,381,155,225
  5. Step 5: Solve for x
    x = 192,370,381,155,225/6,430,098
  6. Step 6: Final answer
    x = 29,917,177.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.