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Finding the Third Proportional to 5,625,066 and 11,648,900

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Solution

The third proportional to 5,625,066 and 11,648,900 is: 24,123,605.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,625,066 : 11,648,900 = 11,648,900 : x
  2. Step 2: Convert to fraction form
    5,625,066/11,648,900 = 11,648,900/x
  3. Step 3: Cross multiply
    5,625,066x = 11,648,900 × 11,648,900
  4. Step 4: Simplify right side
    5,625,066x = 135,696,871,210,000
  5. Step 5: Solve for x
    x = 135,696,871,210,000/5,625,066
  6. Step 6: Final answer
    x = 24,123,605.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.