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Finding the Third Proportional to 5,307,201 and 7,952,458.50

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Solution

The third proportional to 5,307,201 and 7,952,458.50 is: 11,916,186.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307,201 : 7,952,458.50 = 7,952,458.50 : x
  2. Step 2: Convert to fraction form
    5,307,201/7,952,458.50 = 7,952,458.50/x
  3. Step 3: Cross multiply
    5,307,201x = 7,952,458.50 × 7,952,458.50
  4. Step 4: Simplify right side
    5,307,201x = 63,241,596,194,222.25
  5. Step 5: Solve for x
    x = 63,241,596,194,222.25/5,307,201
  6. Step 6: Final answer
    x = 11,916,186.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.