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Finding the Third Proportional to 8,822,054 and 19,109,724

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Solution

The third proportional to 8,822,054 and 19,109,724 is: 41,394,164.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822,054 : 19,109,724 = 19,109,724 : x
  2. Step 2: Convert to fraction form
    8,822,054/19,109,724 = 19,109,724/x
  3. Step 3: Cross multiply
    8,822,054x = 19,109,724 × 19,109,724
  4. Step 4: Simplify right side
    8,822,054x = 365,181,551,356,176
  5. Step 5: Solve for x
    x = 365,181,551,356,176/8,822,054
  6. Step 6: Final answer
    x = 41,394,164.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.