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Finding the Third Proportional to 30,964,330.69 and 46,443,489.75

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Solution

The third proportional to 30,964,330.69 and 46,443,489.75 is: 69,660,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,964,330.69 : 46,443,489.75 = 46,443,489.75 : x
  2. Step 2: Convert to fraction form
    30,964,330.69/46,443,489.75 = 46,443,489.75/x
  3. Step 3: Cross multiply
    30,964,330.69x = 46,443,489.75 × 46,443,489.75
  4. Step 4: Simplify right side
    30,964,330.69x = 2,156,997,740,158,355
  5. Step 5: Solve for x
    x = 2,156,997,740,158,355/30,964,330.69
  6. Step 6: Final answer
    x = 69,660,725.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.