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Finding the Third Proportional to 2,174,871 and 5,117,065.50

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Solution

The third proportional to 2,174,871 and 5,117,065.50 is: 12,039,499.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174,871 : 5,117,065.50 = 5,117,065.50 : x
  2. Step 2: Convert to fraction form
    2,174,871/5,117,065.50 = 5,117,065.50/x
  3. Step 3: Cross multiply
    2,174,871x = 5,117,065.50 × 5,117,065.50
  4. Step 4: Simplify right side
    2,174,871x = 26,184,359,331,290.25
  5. Step 5: Solve for x
    x = 26,184,359,331,290.25/2,174,871
  6. Step 6: Final answer
    x = 12,039,499.97

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.