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Finding the Third Proportional to 10,661,146.59 and 23,024,530.97

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Solution

The third proportional to 10,661,146.59 and 23,024,530.97 is: 49,725,329.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661,146.59 : 23,024,530.97 = 23,024,530.97 : x
  2. Step 2: Convert to fraction form
    10,661,146.59/23,024,530.97 = 23,024,530.97/x
  3. Step 3: Cross multiply
    10,661,146.59x = 23,024,530.97 × 23,024,530.97
  4. Step 4: Simplify right side
    10,661,146.59x = 530,129,026,330,927.81
  5. Step 5: Solve for x
    x = 530,129,026,330,927.81/10,661,146.59
  6. Step 6: Final answer
    x = 49,725,329.42

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