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Finding the Third Proportional to 11,009,358 and 23,022,549

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Solution

The third proportional to 11,009,358 and 23,022,549 is: 48,144,293.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,009,358 : 23,022,549 = 23,022,549 : x
  2. Step 2: Convert to fraction form
    11,009,358/23,022,549 = 23,022,549/x
  3. Step 3: Cross multiply
    11,009,358x = 23,022,549 × 23,022,549
  4. Step 4: Simplify right side
    11,009,358x = 530,037,762,457,401
  5. Step 5: Solve for x
    x = 530,037,762,457,401/11,009,358
  6. Step 6: Final answer
    x = 48,144,293.47

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.