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Finding the Third Proportional to 10,422,045.84 and 22,638,205.13

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Solution

The third proportional to 10,422,045.84 and 22,638,205.13 is: 49,173,486.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422,045.84 : 22,638,205.13 = 22,638,205.13 : x
  2. Step 2: Convert to fraction form
    10,422,045.84/22,638,205.13 = 22,638,205.13/x
  3. Step 3: Cross multiply
    10,422,045.84x = 22,638,205.13 × 22,638,205.13
  4. Step 4: Simplify right side
    10,422,045.84x = 512,488,331,281,576.25
  5. Step 5: Solve for x
    x = 512,488,331,281,576.25/10,422,045.84
  6. Step 6: Final answer
    x = 49,173,486.57

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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.