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Finding the Third Proportional to 4,682,116,056 and 6,764,849,156

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Solution

The third proportional to 4,682,116,056 and 6,764,849,156 is: 9,774,038,822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682,116,056 : 6,764,849,156 = 6,764,849,156 : x
  2. Step 2: Convert to fraction form
    4,682,116,056/6,764,849,156 = 6,764,849,156/x
  3. Step 3: Cross multiply
    4,682,116,056x = 6,764,849,156 × 6,764,849,156
  4. Step 4: Simplify right side
    4,682,116,056x = 45,763,184,103,433,912,320
  5. Step 5: Solve for x
    x = 45,763,184,103,433,912,320/4,682,116,056
  6. Step 6: Final answer
    x = 9,774,038,822.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.