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Finding the Third Proportional to 4,248,423 and 6,407,889.75

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Solution

The third proportional to 4,248,423 and 6,407,889.75 is: 9,665,010.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,248,423 : 6,407,889.75 = 6,407,889.75 : x
  2. Step 2: Convert to fraction form
    4,248,423/6,407,889.75 = 6,407,889.75/x
  3. Step 3: Cross multiply
    4,248,423x = 6,407,889.75 × 6,407,889.75
  4. Step 4: Simplify right side
    4,248,423x = 41,061,051,048,155.06
  5. Step 5: Solve for x
    x = 41,061,051,048,155.06/4,248,423
  6. Step 6: Final answer
    x = 9,665,010.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.