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Finding the Third Proportional to 7,302,109.50 and 11,351,171.25

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Solution

The third proportional to 7,302,109.50 and 11,351,171.25 is: 17,645,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302,109.50 : 11,351,171.25 = 11,351,171.25 : x
  2. Step 2: Convert to fraction form
    7,302,109.50/11,351,171.25 = 11,351,171.25/x
  3. Step 3: Cross multiply
    7,302,109.50x = 11,351,171.25 × 11,351,171.25
  4. Step 4: Simplify right side
    7,302,109.50x = 128,849,088,746,826.56
  5. Step 5: Solve for x
    x = 128,849,088,746,826.56/7,302,109.50
  6. Step 6: Final answer
    x = 17,645,461.05

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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.