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Finding the Third Proportional to 10,459,100 and 22,598,796

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Solution

The third proportional to 10,459,100 and 22,598,796 is: 48,828,826.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459,100 : 22,598,796 = 22,598,796 : x
  2. Step 2: Convert to fraction form
    10,459,100/22,598,796 = 22,598,796/x
  3. Step 3: Cross multiply
    10,459,100x = 22,598,796 × 22,598,796
  4. Step 4: Simplify right side
    10,459,100x = 510,705,580,649,616
  5. Step 5: Solve for x
    x = 510,705,580,649,616/10,459,100
  6. Step 6: Final answer
    x = 48,828,826.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.