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Finding the Third Proportional to 6,596,286 and 10,090,596

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Solution

The third proportional to 6,596,286 and 10,090,596 is: 15,435,978.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,596,286 : 10,090,596 = 10,090,596 : x
  2. Step 2: Convert to fraction form
    6,596,286/10,090,596 = 10,090,596/x
  3. Step 3: Cross multiply
    6,596,286x = 10,090,596 × 10,090,596
  4. Step 4: Simplify right side
    6,596,286x = 101,820,127,635,216
  5. Step 5: Solve for x
    x = 101,820,127,635,216/6,596,286
  6. Step 6: Final answer
    x = 15,435,978.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.