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Finding the Third Proportional to 4,532,833.45 and 9,783,503.13

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Solution

The third proportional to 4,532,833.45 and 9,783,503.13 is: 21,116,357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532,833.45 : 9,783,503.13 = 9,783,503.13 : x
  2. Step 2: Convert to fraction form
    4,532,833.45/9,783,503.13 = 9,783,503.13/x
  3. Step 3: Cross multiply
    4,532,833.45x = 9,783,503.13 × 9,783,503.13
  4. Step 4: Simplify right side
    4,532,833.45x = 95,716,933,492,430.47
  5. Step 5: Solve for x
    x = 95,716,933,492,430.47/4,532,833.45
  6. Step 6: Final answer
    x = 21,116,357.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.