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Finding the Third Proportional to 3,134,662.50 and 6,402,175.50

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Solution

The third proportional to 3,134,662.50 and 6,402,175.50 is: 13,075,682.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134,662.50 : 6,402,175.50 = 6,402,175.50 : x
  2. Step 2: Convert to fraction form
    3,134,662.50/6,402,175.50 = 6,402,175.50/x
  3. Step 3: Cross multiply
    3,134,662.50x = 6,402,175.50 × 6,402,175.50
  4. Step 4: Simplify right side
    3,134,662.50x = 40,987,851,132,800.25
  5. Step 5: Solve for x
    x = 40,987,851,132,800.25/3,134,662.50
  6. Step 6: Final answer
    x = 13,075,682.35

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.