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Finding the Third Proportional to 3,742,115.63 and 5,213,710.13

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Solution

The third proportional to 3,742,115.63 and 5,213,710.13 is: 7,264,012.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,742,115.63 : 5,213,710.13 = 5,213,710.13 : x
  2. Step 2: Convert to fraction form
    3,742,115.63/5,213,710.13 = 5,213,710.13/x
  3. Step 3: Cross multiply
    3,742,115.63x = 5,213,710.13 × 5,213,710.13
  4. Step 4: Simplify right side
    3,742,115.63x = 27,182,773,267,527.52
  5. Step 5: Solve for x
    x = 27,182,773,267,527.52/3,742,115.63
  6. Step 6: Final answer
    x = 7,264,012.12

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.