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Finding the Third Proportional to 14,148,533 and 30,314,209

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Solution

The third proportional to 14,148,533 and 30,314,209 is: 64,950,286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148,533 : 30,314,209 = 30,314,209 : x
  2. Step 2: Convert to fraction form
    14,148,533/30,314,209 = 30,314,209/x
  3. Step 3: Cross multiply
    14,148,533x = 30,314,209 × 30,314,209
  4. Step 4: Simplify right side
    14,148,533x = 918,951,267,295,681
  5. Step 5: Solve for x
    x = 918,951,267,295,681/14,148,533
  6. Step 6: Final answer
    x = 64,950,286.17

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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.