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Finding the Third Proportional to 7,065,651 and 11,206,327.50

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Solution

The third proportional to 7,065,651 and 11,206,327.50 is: 17,773,560.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065,651 : 11,206,327.50 = 11,206,327.50 : x
  2. Step 2: Convert to fraction form
    7,065,651/11,206,327.50 = 11,206,327.50/x
  3. Step 3: Cross multiply
    7,065,651x = 11,206,327.50 × 11,206,327.50
  4. Step 4: Simplify right side
    7,065,651x = 125,581,776,037,256.25
  5. Step 5: Solve for x
    x = 125,581,776,037,256.25/7,065,651
  6. Step 6: Final answer
    x = 17,773,560.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.