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Finding the Third Proportional to 10,473,077.25 and 22,205,643.75

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Solution

The third proportional to 10,473,077.25 and 22,205,643.75 is: 47,081,731.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,473,077.25 : 22,205,643.75 = 22,205,643.75 : x
  2. Step 2: Convert to fraction form
    10,473,077.25/22,205,643.75 = 22,205,643.75/x
  3. Step 3: Cross multiply
    10,473,077.25x = 22,205,643.75 × 22,205,643.75
  4. Step 4: Simplify right side
    10,473,077.25x = 493,090,614,351,914.06
  5. Step 5: Solve for x
    x = 493,090,614,351,914.06/10,473,077.25
  6. Step 6: Final answer
    x = 47,081,731.81

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.