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Finding the Third Proportional to 23,038,404.75 and 49,766,415.19

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Solution

The third proportional to 23,038,404.75 and 49,766,415.19 is: 107,502,932.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,038,404.75 : 49,766,415.19 = 49,766,415.19 : x
  2. Step 2: Convert to fraction form
    23,038,404.75/49,766,415.19 = 49,766,415.19/x
  3. Step 3: Cross multiply
    23,038,404.75x = 49,766,415.19 × 49,766,415.19
  4. Step 4: Simplify right side
    23,038,404.75x = 2,476,696,080,614,630.50
  5. Step 5: Solve for x
    x = 2,476,696,080,614,630.50/23,038,404.75
  6. Step 6: Final answer
    x = 107,502,932.93

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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.