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Finding the Third Proportional to 10,819,562 and 22,846,276

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Solution

The third proportional to 10,819,562 and 22,846,276 is: 48,241,539.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819,562 : 22,846,276 = 22,846,276 : x
  2. Step 2: Convert to fraction form
    10,819,562/22,846,276 = 22,846,276/x
  3. Step 3: Cross multiply
    10,819,562x = 22,846,276 × 22,846,276
  4. Step 4: Simplify right side
    10,819,562x = 521,952,327,068,176
  5. Step 5: Solve for x
    x = 521,952,327,068,176/10,819,562
  6. Step 6: Final answer
    x = 48,241,539.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.