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Finding the Third Proportional to 17,307,457.31 and 36,931,676.63

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Solution

The third proportional to 17,307,457.31 and 36,931,676.63 is: 78,806,997.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,307,457.31 : 36,931,676.63 = 36,931,676.63 : x
  2. Step 2: Convert to fraction form
    17,307,457.31/36,931,676.63 = 36,931,676.63/x
  3. Step 3: Cross multiply
    17,307,457.31x = 36,931,676.63 × 36,931,676.63
  4. Step 4: Simplify right side
    17,307,457.31x = 1,363,948,738,333,571.50
  5. Step 5: Solve for x
    x = 1,363,948,738,333,571.50/17,307,457.31
  6. Step 6: Final answer
    x = 78,806,997.11

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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.