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Finding the Third Proportional to 6,172,740 and 8,326,719

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Solution

The third proportional to 6,172,740 and 8,326,719 is: 11,232,329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172,740 : 8,326,719 = 8,326,719 : x
  2. Step 2: Convert to fraction form
    6,172,740/8,326,719 = 8,326,719/x
  3. Step 3: Cross multiply
    6,172,740x = 8,326,719 × 8,326,719
  4. Step 4: Simplify right side
    6,172,740x = 69,334,249,304,961
  5. Step 5: Solve for x
    x = 69,334,249,304,961/6,172,740
  6. Step 6: Final answer
    x = 11,232,329.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.