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Finding the Third Proportional to 27,005,575.50 and 38,590,339.50

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Solution

The third proportional to 27,005,575.50 and 38,590,339.50 is: 55,144,697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,005,575.50 : 38,590,339.50 = 38,590,339.50 : x
  2. Step 2: Convert to fraction form
    27,005,575.50/38,590,339.50 = 38,590,339.50/x
  3. Step 3: Cross multiply
    27,005,575.50x = 38,590,339.50 × 38,590,339.50
  4. Step 4: Simplify right side
    27,005,575.50x = 1,489,214,302,725,260.25
  5. Step 5: Solve for x
    x = 1,489,214,302,725,260.25/27,005,575.50
  6. Step 6: Final answer
    x = 55,144,697.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.