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Finding the Third Proportional to 10,280,982 and 22,579,904

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Solution

The third proportional to 10,280,982 and 22,579,904 is: 49,591,767.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280,982 : 22,579,904 = 22,579,904 : x
  2. Step 2: Convert to fraction form
    10,280,982/22,579,904 = 22,579,904/x
  3. Step 3: Cross multiply
    10,280,982x = 22,579,904 × 22,579,904
  4. Step 4: Simplify right side
    10,280,982x = 509,852,064,649,216
  5. Step 5: Solve for x
    x = 509,852,064,649,216/10,280,982
  6. Step 6: Final answer
    x = 49,591,767.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.