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Finding the Third Proportional to 4,417,466.63 and 6,787,665.84

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Solution

The third proportional to 4,417,466.63 and 6,787,665.84 is: 10,429,599.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,417,466.63 : 6,787,665.84 = 6,787,665.84 : x
  2. Step 2: Convert to fraction form
    4,417,466.63/6,787,665.84 = 6,787,665.84/x
  3. Step 3: Cross multiply
    4,417,466.63x = 6,787,665.84 × 6,787,665.84
  4. Step 4: Simplify right side
    4,417,466.63x = 46,072,407,606,410.40
  5. Step 5: Solve for x
    x = 46,072,407,606,410.40/4,417,466.63
  6. Step 6: Final answer
    x = 10,429,599.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.