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Finding the Third Proportional to 7,576,275.38 and 11,553,575.63

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Solution

The third proportional to 7,576,275.38 and 11,553,575.63 is: 17,618,830.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576,275.38 : 11,553,575.63 = 11,553,575.63 : x
  2. Step 2: Convert to fraction form
    7,576,275.38/11,553,575.63 = 11,553,575.63/x
  3. Step 3: Cross multiply
    7,576,275.38x = 11,553,575.63 × 11,553,575.63
  4. Step 4: Simplify right side
    7,576,275.38x = 133,485,109,722,594.14
  5. Step 5: Solve for x
    x = 133,485,109,722,594.14/7,576,275.38
  6. Step 6: Final answer
    x = 17,618,830.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.