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Finding the Third Proportional to 51,173,575 and 73,178,815

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Solution

The third proportional to 51,173,575 and 73,178,815 is: 104,646,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,173,575 : 73,178,815 = 73,178,815 : x
  2. Step 2: Convert to fraction form
    51,173,575/73,178,815 = 73,178,815/x
  3. Step 3: Cross multiply
    51,173,575x = 73,178,815 × 73,178,815
  4. Step 4: Simplify right side
    51,173,575x = 5,355,138,964,804,225
  5. Step 5: Solve for x
    x = 5,355,138,964,804,225/51,173,575
  6. Step 6: Final answer
    x = 104,646,567.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.