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Finding the Third Proportional to 5,709,205.13 and 12,365,037

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Solution

The third proportional to 5,709,205.13 and 12,365,037 is: 26,780,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709,205.13 : 12,365,037 = 12,365,037 : x
  2. Step 2: Convert to fraction form
    5,709,205.13/12,365,037 = 12,365,037/x
  3. Step 3: Cross multiply
    5,709,205.13x = 12,365,037 × 12,365,037
  4. Step 4: Simplify right side
    5,709,205.13x = 152,894,140,011,369
  5. Step 5: Solve for x
    x = 152,894,140,011,369/5,709,205.13
  6. Step 6: Final answer
    x = 26,780,284.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.