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Finding the Third Proportional to 5,709,317.06 and 7,776,439.59

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Solution

The third proportional to 5,709,317.06 and 7,776,439.59 is: 10,591,987.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709,317.06 : 7,776,439.59 = 7,776,439.59 : x
  2. Step 2: Convert to fraction form
    5,709,317.06/7,776,439.59 = 7,776,439.59/x
  3. Step 3: Cross multiply
    5,709,317.06x = 7,776,439.59 × 7,776,439.59
  4. Step 4: Simplify right side
    5,709,317.06x = 60,473,012,755,242.66
  5. Step 5: Solve for x
    x = 60,473,012,755,242.66/5,709,317.06
  6. Step 6: Final answer
    x = 10,591,987.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.