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Finding the Third Proportional to 10,422,023.63 and 22,638,160.69

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Solution

The third proportional to 10,422,023.63 and 22,638,160.69 is: 49,173,398.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422,023.63 : 22,638,160.69 = 22,638,160.69 : x
  2. Step 2: Convert to fraction form
    10,422,023.63/22,638,160.69 = 22,638,160.69/x
  3. Step 3: Cross multiply
    10,422,023.63x = 22,638,160.69 × 22,638,160.69
  4. Step 4: Simplify right side
    10,422,023.63x = 512,486,319,313,070.50
  5. Step 5: Solve for x
    x = 512,486,319,313,070.50/10,422,023.63
  6. Step 6: Final answer
    x = 49,173,398.35

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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.