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Finding the Third Proportional to 3,728,176,527 and 5,586,811,222

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Solution

The third proportional to 3,728,176,527 and 5,586,811,222 is: 8,372,044,457.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728,176,527 : 5,586,811,222 = 5,586,811,222 : x
  2. Step 2: Convert to fraction form
    3,728,176,527/5,586,811,222 = 5,586,811,222/x
  3. Step 3: Cross multiply
    3,728,176,527x = 5,586,811,222 × 5,586,811,222
  4. Step 4: Simplify right side
    3,728,176,527x = 31,212,459,630,265,135,104
  5. Step 5: Solve for x
    x = 31,212,459,630,265,135,104/3,728,176,527
  6. Step 6: Final answer
    x = 8,372,044,457.72

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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.