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Finding the Third Proportional to 7,693,675.88 and 16,486,908.89

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Solution

The third proportional to 7,693,675.88 and 16,486,908.89 is: 35,330,077.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693,675.88 : 16,486,908.89 = 16,486,908.89 : x
  2. Step 2: Convert to fraction form
    7,693,675.88/16,486,908.89 = 16,486,908.89/x
  3. Step 3: Cross multiply
    7,693,675.88x = 16,486,908.89 × 16,486,908.89
  4. Step 4: Simplify right side
    7,693,675.88x = 271,818,164,767,769.66
  5. Step 5: Solve for x
    x = 271,818,164,767,769.66/7,693,675.88
  6. Step 6: Final answer
    x = 35,330,077.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.