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Finding the Third Proportional to 7,706,764.13 and 16,939,001.25

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Solution

The third proportional to 7,706,764.13 and 16,939,001.25 is: 37,230,899.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706,764.13 : 16,939,001.25 = 16,939,001.25 : x
  2. Step 2: Convert to fraction form
    7,706,764.13/16,939,001.25 = 16,939,001.25/x
  3. Step 3: Cross multiply
    7,706,764.13x = 16,939,001.25 × 16,939,001.25
  4. Step 4: Simplify right side
    7,706,764.13x = 286,929,763,347,501.56
  5. Step 5: Solve for x
    x = 286,929,763,347,501.56/7,706,764.13
  6. Step 6: Final answer
    x = 37,230,899.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.