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Finding the Third Proportional to 16,477,098 and 35,883,440

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Solution

The third proportional to 16,477,098 and 35,883,440 is: 78,146,119.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477,098 : 35,883,440 = 35,883,440 : x
  2. Step 2: Convert to fraction form
    16,477,098/35,883,440 = 35,883,440/x
  3. Step 3: Cross multiply
    16,477,098x = 35,883,440 × 35,883,440
  4. Step 4: Simplify right side
    16,477,098x = 1,287,621,266,233,600
  5. Step 5: Solve for x
    x = 1,287,621,266,233,600/16,477,098
  6. Step 6: Final answer
    x = 78,146,119.31

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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.