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Finding the Third Proportional to 16,502,001 and 35,843,842.50

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Solution

The third proportional to 16,502,001 and 35,843,842.50 is: 77,856,076.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502,001 : 35,843,842.50 = 35,843,842.50 : x
  2. Step 2: Convert to fraction form
    16,502,001/35,843,842.50 = 35,843,842.50/x
  3. Step 3: Cross multiply
    16,502,001x = 35,843,842.50 × 35,843,842.50
  4. Step 4: Simplify right side
    16,502,001x = 1,284,781,045,164,806.25
  5. Step 5: Solve for x
    x = 1,284,781,045,164,806.25/16,502,001
  6. Step 6: Final answer
    x = 77,856,076.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.