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Finding the Third Proportional to 30,594,901.50 and 65,736,819

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Solution

The third proportional to 30,594,901.50 and 65,736,819 is: 141,243,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,594,901.50 : 65,736,819 = 65,736,819 : x
  2. Step 2: Convert to fraction form
    30,594,901.50/65,736,819 = 65,736,819/x
  3. Step 3: Cross multiply
    30,594,901.50x = 65,736,819 × 65,736,819
  4. Step 4: Simplify right side
    30,594,901.50x = 4,321,329,372,238,761
  5. Step 5: Solve for x
    x = 4,321,329,372,238,761/30,594,901.50
  6. Step 6: Final answer
    x = 141,243,447.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.