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Finding the Third Proportional to 2,648,841.75 and 5,721,070.50

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Solution

The third proportional to 2,648,841.75 and 5,721,070.50 is: 12,356,588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648,841.75 : 5,721,070.50 = 5,721,070.50 : x
  2. Step 2: Convert to fraction form
    2,648,841.75/5,721,070.50 = 5,721,070.50/x
  3. Step 3: Cross multiply
    2,648,841.75x = 5,721,070.50 × 5,721,070.50
  4. Step 4: Simplify right side
    2,648,841.75x = 32,730,647,665,970.25
  5. Step 5: Solve for x
    x = 32,730,647,665,970.25/2,648,841.75
  6. Step 6: Final answer
    x = 12,356,588.56

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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.