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Finding the Third Proportional to 10,869,257 and 23,440,922

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Solution

The third proportional to 10,869,257 and 23,440,922 is: 50,553,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869,257 : 23,440,922 = 23,440,922 : x
  2. Step 2: Convert to fraction form
    10,869,257/23,440,922 = 23,440,922/x
  3. Step 3: Cross multiply
    10,869,257x = 23,440,922 × 23,440,922
  4. Step 4: Simplify right side
    10,869,257x = 549,476,824,210,084
  5. Step 5: Solve for x
    x = 549,476,824,210,084/10,869,257
  6. Step 6: Final answer
    x = 50,553,301.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.