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Finding the Third Proportional to 2,433,113.02 and 5,743,595.67

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Solution

The third proportional to 2,433,113.02 and 5,743,595.67 is: 13,558,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,433,113.02 : 5,743,595.67 = 5,743,595.67 : x
  2. Step 2: Convert to fraction form
    2,433,113.02/5,743,595.67 = 5,743,595.67/x
  3. Step 3: Cross multiply
    2,433,113.02x = 5,743,595.67 × 5,743,595.67
  4. Step 4: Simplify right side
    2,433,113.02x = 32,988,891,241,981.23
  5. Step 5: Solve for x
    x = 32,988,891,241,981.23/2,433,113.02
  6. Step 6: Final answer
    x = 13,558,306.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.