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Finding the Third Proportional to 7,310,809.13 and 15,840,709.31

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Solution

The third proportional to 7,310,809.13 and 15,840,709.31 is: 34,322,886.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310,809.13 : 15,840,709.31 = 15,840,709.31 : x
  2. Step 2: Convert to fraction form
    7,310,809.13/15,840,709.31 = 15,840,709.31/x
  3. Step 3: Cross multiply
    7,310,809.13x = 15,840,709.31 × 15,840,709.31
  4. Step 4: Simplify right side
    7,310,809.13x = 250,928,071,523,124.22
  5. Step 5: Solve for x
    x = 250,928,071,523,124.22/7,310,809.13
  6. Step 6: Final answer
    x = 34,322,886.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.