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Finding the Third Proportional to 3,166,677,506 and 4,295,885,031

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Solution

The third proportional to 3,166,677,506 and 4,295,885,031 is: 5,827,757,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166,677,506 : 4,295,885,031 = 4,295,885,031 : x
  2. Step 2: Convert to fraction form
    3,166,677,506/4,295,885,031 = 4,295,885,031/x
  3. Step 3: Cross multiply
    3,166,677,506x = 4,295,885,031 × 4,295,885,031
  4. Step 4: Simplify right side
    3,166,677,506x = 18,454,628,199,569,870,848
  5. Step 5: Solve for x
    x = 18,454,628,199,569,870,848/3,166,677,506
  6. Step 6: Final answer
    x = 5,827,757,378.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.