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Finding the Third Proportional to 470,175,252 and 1,097,936,137.50

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Solution

The third proportional to 470,175,252 and 1,097,936,137.50 is: 2,563,860,511.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,175,252 : 1,097,936,137.50 = 1,097,936,137.50 : x
  2. Step 2: Convert to fraction form
    470,175,252/1,097,936,137.50 = 1,097,936,137.50/x
  3. Step 3: Cross multiply
    470,175,252x = 1,097,936,137.50 × 1,097,936,137.50
  4. Step 4: Simplify right side
    470,175,252x = 1,205,463,762,028,418,816
  5. Step 5: Solve for x
    x = 1,205,463,762,028,418,816/470,175,252
  6. Step 6: Final answer
    x = 2,563,860,511.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.