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Finding the Third Proportional to 4,676,032.50 and 10,062,265

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Solution

The third proportional to 4,676,032.50 and 10,062,265 is: 21,652,795.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676,032.50 : 10,062,265 = 10,062,265 : x
  2. Step 2: Convert to fraction form
    4,676,032.50/10,062,265 = 10,062,265/x
  3. Step 3: Cross multiply
    4,676,032.50x = 10,062,265 × 10,062,265
  4. Step 4: Simplify right side
    4,676,032.50x = 101,249,176,930,225
  5. Step 5: Solve for x
    x = 101,249,176,930,225/4,676,032.50
  6. Step 6: Final answer
    x = 21,652,795.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.