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Finding the Third Proportional to 3,006,154 and 6,437,952

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Solution

The third proportional to 3,006,154 and 6,437,952 is: 13,787,459.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006,154 : 6,437,952 = 6,437,952 : x
  2. Step 2: Convert to fraction form
    3,006,154/6,437,952 = 6,437,952/x
  3. Step 3: Cross multiply
    3,006,154x = 6,437,952 × 6,437,952
  4. Step 4: Simplify right side
    3,006,154x = 41,447,225,954,304
  5. Step 5: Solve for x
    x = 41,447,225,954,304/3,006,154
  6. Step 6: Final answer
    x = 13,787,459.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.