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Finding the Third Proportional to 12,435,180,440 and 17,782,454,416

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Solution

The third proportional to 12,435,180,440 and 17,782,454,416 is: 25,429,119,149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435,180,440 : 17,782,454,416 = 17,782,454,416 : x
  2. Step 2: Convert to fraction form
    12,435,180,440/17,782,454,416 = 17,782,454,416/x
  3. Step 3: Cross multiply
    12,435,180,440x = 17,782,454,416 × 17,782,454,416
  4. Step 4: Simplify right side
    12,435,180,440x = 316,215,685,057,117,880,320
  5. Step 5: Solve for x
    x = 316,215,685,057,117,880,320/12,435,180,440
  6. Step 6: Final answer
    x = 25,429,119,149.73

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.