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Finding the Third Proportional to 11,711,873 and 25,378,681

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Solution

The third proportional to 11,711,873 and 25,378,681 is: 54,993,547.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711,873 : 25,378,681 = 25,378,681 : x
  2. Step 2: Convert to fraction form
    11,711,873/25,378,681 = 25,378,681/x
  3. Step 3: Cross multiply
    11,711,873x = 25,378,681 × 25,378,681
  4. Step 4: Simplify right side
    11,711,873x = 644,077,449,299,761
  5. Step 5: Solve for x
    x = 644,077,449,299,761/11,711,873
  6. Step 6: Final answer
    x = 54,993,547.94

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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.