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Finding the Third Proportional to 4,638,441.38 and 7,077,602.81

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Solution

The third proportional to 4,638,441.38 and 7,077,602.81 is: 10,799,416.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638,441.38 : 7,077,602.81 = 7,077,602.81 : x
  2. Step 2: Convert to fraction form
    4,638,441.38/7,077,602.81 = 7,077,602.81/x
  3. Step 3: Cross multiply
    4,638,441.38x = 7,077,602.81 × 7,077,602.81
  4. Step 4: Simplify right side
    4,638,441.38x = 50,092,461,571,507.91
  5. Step 5: Solve for x
    x = 50,092,461,571,507.91/4,638,441.38
  6. Step 6: Final answer
    x = 10,799,416.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.