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Finding the Third Proportional to 5,909,384.11 and 12,939,776.58

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Solution

The third proportional to 5,909,384.11 and 12,939,776.58 is: 28,334,224.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909,384.11 : 12,939,776.58 = 12,939,776.58 : x
  2. Step 2: Convert to fraction form
    5,909,384.11/12,939,776.58 = 12,939,776.58/x
  3. Step 3: Cross multiply
    5,909,384.11x = 12,939,776.58 × 12,939,776.58
  4. Step 4: Simplify right side
    5,909,384.11x = 167,437,817,891,792.34
  5. Step 5: Solve for x
    x = 167,437,817,891,792.34/5,909,384.11
  6. Step 6: Final answer
    x = 28,334,224.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.