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Finding the Third Proportional to 4,281,673.50 and 7,029,009

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Solution

The third proportional to 4,281,673.50 and 7,029,009 is: 11,539,172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,281,673.50 : 7,029,009 = 7,029,009 : x
  2. Step 2: Convert to fraction form
    4,281,673.50/7,029,009 = 7,029,009/x
  3. Step 3: Cross multiply
    4,281,673.50x = 7,029,009 × 7,029,009
  4. Step 4: Simplify right side
    4,281,673.50x = 49,406,967,522,081
  5. Step 5: Solve for x
    x = 49,406,967,522,081/4,281,673.50
  6. Step 6: Final answer
    x = 11,539,172.13

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.