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Finding the Third Proportional to 4,969,740 and 7,291,021.50

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Solution

The third proportional to 4,969,740 and 7,291,021.50 is: 10,696,534.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969,740 : 7,291,021.50 = 7,291,021.50 : x
  2. Step 2: Convert to fraction form
    4,969,740/7,291,021.50 = 7,291,021.50/x
  3. Step 3: Cross multiply
    4,969,740x = 7,291,021.50 × 7,291,021.50
  4. Step 4: Simplify right side
    4,969,740x = 53,158,994,513,462.25
  5. Step 5: Solve for x
    x = 53,158,994,513,462.25/4,969,740
  6. Step 6: Final answer
    x = 10,696,534.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.