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Finding the Third Proportional to 4,069,703 and 6,478,158

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Solution

The third proportional to 4,069,703 and 6,478,158 is: 10,311,939.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069,703 : 6,478,158 = 6,478,158 : x
  2. Step 2: Convert to fraction form
    4,069,703/6,478,158 = 6,478,158/x
  3. Step 3: Cross multiply
    4,069,703x = 6,478,158 × 6,478,158
  4. Step 4: Simplify right side
    4,069,703x = 41,966,531,072,964
  5. Step 5: Solve for x
    x = 41,966,531,072,964/4,069,703
  6. Step 6: Final answer
    x = 10,311,939.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.