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Finding the Third Proportional to 4,617,226 and 10,023,020

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Solution

The third proportional to 4,617,226 and 10,023,020 is: 21,757,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617,226 : 10,023,020 = 10,023,020 : x
  2. Step 2: Convert to fraction form
    4,617,226/10,023,020 = 10,023,020/x
  3. Step 3: Cross multiply
    4,617,226x = 10,023,020 × 10,023,020
  4. Step 4: Simplify right side
    4,617,226x = 100,460,929,920,400
  5. Step 5: Solve for x
    x = 100,460,929,920,400/4,617,226
  6. Step 6: Final answer
    x = 21,757,854.16

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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.