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Finding the Third Proportional to 2,771,782,920 and 3,765,583,188

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Solution

The third proportional to 2,771,782,920 and 3,765,583,188 is: 5,115,702,475.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771,782,920 : 3,765,583,188 = 3,765,583,188 : x
  2. Step 2: Convert to fraction form
    2,771,782,920/3,765,583,188 = 3,765,583,188/x
  3. Step 3: Cross multiply
    2,771,782,920x = 3,765,583,188 × 3,765,583,188
  4. Step 4: Simplify right side
    2,771,782,920x = 14,179,616,745,748,242,432
  5. Step 5: Solve for x
    x = 14,179,616,745,748,242,432/2,771,782,920
  6. Step 6: Final answer
    x = 5,115,702,475.63

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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.