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Finding the Third Proportional to 9,509,592.38 and 20,248,916.63

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Solution

The third proportional to 9,509,592.38 and 20,248,916.63 is: 43,116,319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509,592.38 : 20,248,916.63 = 20,248,916.63 : x
  2. Step 2: Convert to fraction form
    9,509,592.38/20,248,916.63 = 20,248,916.63/x
  3. Step 3: Cross multiply
    9,509,592.38x = 20,248,916.63 × 20,248,916.63
  4. Step 4: Simplify right side
    9,509,592.38x = 410,018,624,486,201.38
  5. Step 5: Solve for x
    x = 410,018,624,486,201.38/9,509,592.38
  6. Step 6: Final answer
    x = 43,116,319.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.