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Finding the Third Proportional to 10,654,814.25 and 23,012,113.50

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Solution

The third proportional to 10,654,814.25 and 23,012,113.50 is: 49,701,229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654,814.25 : 23,012,113.50 = 23,012,113.50 : x
  2. Step 2: Convert to fraction form
    10,654,814.25/23,012,113.50 = 23,012,113.50/x
  3. Step 3: Cross multiply
    10,654,814.25x = 23,012,113.50 × 23,012,113.50
  4. Step 4: Simplify right side
    10,654,814.25x = 529,557,367,736,882.25
  5. Step 5: Solve for x
    x = 529,557,367,736,882.25/10,654,814.25
  6. Step 6: Final answer
    x = 49,701,229.45

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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.