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Finding the Third Proportional to 11,133,394 and 17,238,798.50

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Solution

The third proportional to 11,133,394 and 17,238,798.50 is: 26,692,325.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,133,394 : 17,238,798.50 = 17,238,798.50 : x
  2. Step 2: Convert to fraction form
    11,133,394/17,238,798.50 = 17,238,798.50/x
  3. Step 3: Cross multiply
    11,133,394x = 17,238,798.50 × 17,238,798.50
  4. Step 4: Simplify right side
    11,133,394x = 297,176,173,723,602.25
  5. Step 5: Solve for x
    x = 297,176,173,723,602.25/11,133,394
  6. Step 6: Final answer
    x = 26,692,325.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.