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Finding the Third Proportional to 7,178,086 and 10,772,378

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Solution

The third proportional to 7,178,086 and 10,772,378 is: 16,166,444.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178,086 : 10,772,378 = 10,772,378 : x
  2. Step 2: Convert to fraction form
    7,178,086/10,772,378 = 10,772,378/x
  3. Step 3: Cross multiply
    7,178,086x = 10,772,378 × 10,772,378
  4. Step 4: Simplify right side
    7,178,086x = 116,044,127,774,884
  5. Step 5: Solve for x
    x = 116,044,127,774,884/7,178,086
  6. Step 6: Final answer
    x = 16,166,444.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.