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Finding the Third Proportional to 5,441,220 and 11,877,138

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Solution

The third proportional to 5,441,220 and 11,877,138 is: 25,925,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441,220 : 11,877,138 = 11,877,138 : x
  2. Step 2: Convert to fraction form
    5,441,220/11,877,138 = 11,877,138/x
  3. Step 3: Cross multiply
    5,441,220x = 11,877,138 × 11,877,138
  4. Step 4: Simplify right side
    5,441,220x = 141,066,407,071,044
  5. Step 5: Solve for x
    x = 141,066,407,071,044/5,441,220
  6. Step 6: Final answer
    x = 25,925,510.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.