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Finding the Third Proportional to 10,596,339 and 22,809,969

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Solution

The third proportional to 10,596,339 and 22,809,969 is: 49,101,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596,339 : 22,809,969 = 22,809,969 : x
  2. Step 2: Convert to fraction form
    10,596,339/22,809,969 = 22,809,969/x
  3. Step 3: Cross multiply
    10,596,339x = 22,809,969 × 22,809,969
  4. Step 4: Simplify right side
    10,596,339x = 520,294,685,780,961
  5. Step 5: Solve for x
    x = 520,294,685,780,961/10,596,339
  6. Step 6: Final answer
    x = 49,101,362.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.