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Finding the Third Proportional to 11,086,547 and 23,705,242

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Solution

The third proportional to 11,086,547 and 23,705,242 is: 50,686,521.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,086,547 : 23,705,242 = 23,705,242 : x
  2. Step 2: Convert to fraction form
    11,086,547/23,705,242 = 23,705,242/x
  3. Step 3: Cross multiply
    11,086,547x = 23,705,242 × 23,705,242
  4. Step 4: Simplify right side
    11,086,547x = 561,938,498,278,564
  5. Step 5: Solve for x
    x = 561,938,498,278,564/11,086,547
  6. Step 6: Final answer
    x = 50,686,521.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.