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Finding the Third Proportional to 6,643,413 and 14,388,711

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Solution

The third proportional to 6,643,413 and 14,388,711 is: 31,163,952.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643,413 : 14,388,711 = 14,388,711 : x
  2. Step 2: Convert to fraction form
    6,643,413/14,388,711 = 14,388,711/x
  3. Step 3: Cross multiply
    6,643,413x = 14,388,711 × 14,388,711
  4. Step 4: Simplify right side
    6,643,413x = 207,035,004,241,521
  5. Step 5: Solve for x
    x = 207,035,004,241,521/6,643,413
  6. Step 6: Final answer
    x = 31,163,952.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.