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Finding the Third Proportional to 5,671,914 and 8,718,102

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Solution

The third proportional to 5,671,914 and 8,718,102 is: 13,400,291.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671,914 : 8,718,102 = 8,718,102 : x
  2. Step 2: Convert to fraction form
    5,671,914/8,718,102 = 8,718,102/x
  3. Step 3: Cross multiply
    5,671,914x = 8,718,102 × 8,718,102
  4. Step 4: Simplify right side
    5,671,914x = 76,005,302,482,404
  5. Step 5: Solve for x
    x = 76,005,302,482,404/5,671,914
  6. Step 6: Final answer
    x = 13,400,291.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.