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Finding the Third Proportional to 4,924,342.13 and 7,866,741.94

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Solution

The third proportional to 4,924,342.13 and 7,866,741.94 is: 12,567,288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,924,342.13 : 7,866,741.94 = 7,866,741.94 : x
  2. Step 2: Convert to fraction form
    4,924,342.13/7,866,741.94 = 7,866,741.94/x
  3. Step 3: Cross multiply
    4,924,342.13x = 7,866,741.94 × 7,866,741.94
  4. Step 4: Simplify right side
    4,924,342.13x = 61,885,628,711,221.25
  5. Step 5: Solve for x
    x = 61,885,628,711,221.25/4,924,342.13
  6. Step 6: Final answer
    x = 12,567,288.61

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.