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Finding the Third Proportional to 14,716,416,398 and 32,281,962,724

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Solution

The third proportional to 14,716,416,398 and 32,281,962,724 is: 70,813,782,997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716,416,398 : 32,281,962,724 = 32,281,962,724 : x
  2. Step 2: Convert to fraction form
    14,716,416,398/32,281,962,724 = 32,281,962,724/x
  3. Step 3: Cross multiply
    14,716,416,398x = 32,281,962,724 × 32,281,962,724
  4. Step 4: Simplify right side
    14,716,416,398x = 1,042,125,117,313,725,497,344
  5. Step 5: Solve for x
    x = 1,042,125,117,313,725,497,344/14,716,416,398
  6. Step 6: Final answer
    x = 70,813,782,997.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.