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Finding the Third Proportional to 10,462,205 and 22,168,994

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Solution

The third proportional to 10,462,205 and 22,168,994 is: 46,975,211.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462,205 : 22,168,994 = 22,168,994 : x
  2. Step 2: Convert to fraction form
    10,462,205/22,168,994 = 22,168,994/x
  3. Step 3: Cross multiply
    10,462,205x = 22,168,994 × 22,168,994
  4. Step 4: Simplify right side
    10,462,205x = 491,464,294,972,036
  5. Step 5: Solve for x
    x = 491,464,294,972,036/10,462,205
  6. Step 6: Final answer
    x = 46,975,211.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.