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Finding the Third Proportional to 4,731,820.75 and 10,294,017.75

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Solution

The third proportional to 4,731,820.75 and 10,294,017.75 is: 22,394,508.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731,820.75 : 10,294,017.75 = 10,294,017.75 : x
  2. Step 2: Convert to fraction form
    4,731,820.75/10,294,017.75 = 10,294,017.75/x
  3. Step 3: Cross multiply
    4,731,820.75x = 10,294,017.75 × 10,294,017.75
  4. Step 4: Simplify right side
    4,731,820.75x = 105,966,801,437,315.06
  5. Step 5: Solve for x
    x = 105,966,801,437,315.06/4,731,820.75
  6. Step 6: Final answer
    x = 22,394,508.80

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.