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Finding the Third Proportional to 5,436,085.78 and 7,604,019.56

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Solution

The third proportional to 5,436,085.78 and 7,604,019.56 is: 10,636,534.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,436,085.78 : 7,604,019.56 = 7,604,019.56 : x
  2. Step 2: Convert to fraction form
    5,436,085.78/7,604,019.56 = 7,604,019.56/x
  3. Step 3: Cross multiply
    5,436,085.78x = 7,604,019.56 × 7,604,019.56
  4. Step 4: Simplify right side
    5,436,085.78x = 57,821,113,506,882.69
  5. Step 5: Solve for x
    x = 57,821,113,506,882.69/5,436,085.78
  6. Step 6: Final answer
    x = 10,636,534.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.