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Finding the Third Proportional to 14,347,432 and 30,961,376

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Solution

The third proportional to 14,347,432 and 30,961,376 is: 66,813,824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,347,432 : 30,961,376 = 30,961,376 : x
  2. Step 2: Convert to fraction form
    14,347,432/30,961,376 = 30,961,376/x
  3. Step 3: Cross multiply
    14,347,432x = 30,961,376 × 30,961,376
  4. Step 4: Simplify right side
    14,347,432x = 958,606,803,813,376
  5. Step 5: Solve for x
    x = 958,606,803,813,376/14,347,432
  6. Step 6: Final answer
    x = 66,813,824.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.