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Finding the Third Proportional to 10,292,854.50 and 22,378,323

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Solution

The third proportional to 10,292,854.50 and 22,378,323 is: 48,654,077.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292,854.50 : 22,378,323 = 22,378,323 : x
  2. Step 2: Convert to fraction form
    10,292,854.50/22,378,323 = 22,378,323/x
  3. Step 3: Cross multiply
    10,292,854.50x = 22,378,323 × 22,378,323
  4. Step 4: Simplify right side
    10,292,854.50x = 500,789,340,292,329
  5. Step 5: Solve for x
    x = 500,789,340,292,329/10,292,854.50
  6. Step 6: Final answer
    x = 48,654,077.48

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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.