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Finding the Third Proportional to 22,254,457.13 and 47,448,424.50

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Solution

The third proportional to 22,254,457.13 and 47,448,424.50 is: 101,164,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,254,457.13 : 47,448,424.50 = 47,448,424.50 : x
  2. Step 2: Convert to fraction form
    22,254,457.13/47,448,424.50 = 47,448,424.50/x
  3. Step 3: Cross multiply
    22,254,457.13x = 47,448,424.50 × 47,448,424.50
  4. Step 4: Simplify right side
    22,254,457.13x = 2,251,352,987,532,200.25
  5. Step 5: Solve for x
    x = 2,251,352,987,532,200.25/22,254,457.13
  6. Step 6: Final answer
    x = 101,164,138.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.