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Finding the Third Proportional to 7,955,968 and 17,416,640

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Solution

The third proportional to 7,955,968 and 17,416,640 is: 38,127,271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,955,968 : 17,416,640 = 17,416,640 : x
  2. Step 2: Convert to fraction form
    7,955,968/17,416,640 = 17,416,640/x
  3. Step 3: Cross multiply
    7,955,968x = 17,416,640 × 17,416,640
  4. Step 4: Simplify right side
    7,955,968x = 303,339,348,889,600
  5. Step 5: Solve for x
    x = 303,339,348,889,600/7,955,968
  6. Step 6: Final answer
    x = 38,127,271.11

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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.