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Finding the Third Proportional to 179,014,734 and 385,574,732

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Solution

The third proportional to 179,014,734 and 385,574,732 is: 830,478,422.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,014,734 : 385,574,732 = 385,574,732 : x
  2. Step 2: Convert to fraction form
    179,014,734/385,574,732 = 385,574,732/x
  3. Step 3: Cross multiply
    179,014,734x = 385,574,732 × 385,574,732
  4. Step 4: Simplify right side
    179,014,734x = 148,667,873,956,871,808
  5. Step 5: Solve for x
    x = 148,667,873,956,871,808/179,014,734
  6. Step 6: Final answer
    x = 830,478,422.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.