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Finding the Third Proportional to 7,975,176.47 and 12,372,842.39

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Solution

The third proportional to 7,975,176.47 and 12,372,842.39 is: 19,195,466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975,176.47 : 12,372,842.39 = 12,372,842.39 : x
  2. Step 2: Convert to fraction form
    7,975,176.47/12,372,842.39 = 12,372,842.39/x
  3. Step 3: Cross multiply
    7,975,176.47x = 12,372,842.39 × 12,372,842.39
  4. Step 4: Simplify right side
    7,975,176.47x = 153,087,228,823,246.97
  5. Step 5: Solve for x
    x = 153,087,228,823,246.97/7,975,176.47
  6. Step 6: Final answer
    x = 19,195,466.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.