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Finding the Third Proportional to 4,230,103 and 6,444,295

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Solution

The third proportional to 4,230,103 and 6,444,295 is: 9,817,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230,103 : 6,444,295 = 6,444,295 : x
  2. Step 2: Convert to fraction form
    4,230,103/6,444,295 = 6,444,295/x
  3. Step 3: Cross multiply
    4,230,103x = 6,444,295 × 6,444,295
  4. Step 4: Simplify right side
    4,230,103x = 41,528,938,047,025
  5. Step 5: Solve for x
    x = 41,528,938,047,025/4,230,103
  6. Step 6: Final answer
    x = 9,817,476.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.