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Finding the Third Proportional to 10,107,358.75 and 16,502,660.25

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Solution

The third proportional to 10,107,358.75 and 16,502,660.25 is: 26,944,506.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107,358.75 : 16,502,660.25 = 16,502,660.25 : x
  2. Step 2: Convert to fraction form
    10,107,358.75/16,502,660.25 = 16,502,660.25/x
  3. Step 3: Cross multiply
    10,107,358.75x = 16,502,660.25 × 16,502,660.25
  4. Step 4: Simplify right side
    10,107,358.75x = 272,337,795,326,930.06
  5. Step 5: Solve for x
    x = 272,337,795,326,930.06/10,107,358.75
  6. Step 6: Final answer
    x = 26,944,506.68

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.