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Finding the Third Proportional to 6,464,556 and 10,009,497

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Solution

The third proportional to 6,464,556 and 10,009,497 is: 15,498,362.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464,556 : 10,009,497 = 10,009,497 : x
  2. Step 2: Convert to fraction form
    6,464,556/10,009,497 = 10,009,497/x
  3. Step 3: Cross multiply
    6,464,556x = 10,009,497 × 10,009,497
  4. Step 4: Simplify right side
    6,464,556x = 100,190,030,193,009
  5. Step 5: Solve for x
    x = 100,190,030,193,009/6,464,556
  6. Step 6: Final answer
    x = 15,498,362.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.