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Finding the Third Proportional to 5,574,187.13 and 8,146,220.63

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Solution

The third proportional to 5,574,187.13 and 8,146,220.63 is: 11,905,038.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574,187.13 : 8,146,220.63 = 8,146,220.63 : x
  2. Step 2: Convert to fraction form
    5,574,187.13/8,146,220.63 = 8,146,220.63/x
  3. Step 3: Cross multiply
    5,574,187.13x = 8,146,220.63 × 8,146,220.63
  4. Step 4: Simplify right side
    5,574,187.13x = 66,360,910,471,175.39
  5. Step 5: Solve for x
    x = 66,360,910,471,175.39/5,574,187.13
  6. Step 6: Final answer
    x = 11,905,038.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.