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Finding the Third Proportional to 16,344,708,310 and 23,372,960,718

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Solution

The third proportional to 16,344,708,310 and 23,372,960,718 is: 33,423,373,630.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344,708,310 : 23,372,960,718 = 23,372,960,718 : x
  2. Step 2: Convert to fraction form
    16,344,708,310/23,372,960,718 = 23,372,960,718/x
  3. Step 3: Cross multiply
    16,344,708,310x = 23,372,960,718 × 23,372,960,718
  4. Step 4: Simplify right side
    16,344,708,310x = 546,295,292,725,171,060,736
  5. Step 5: Solve for x
    x = 546,295,292,725,171,060,736/16,344,708,310
  6. Step 6: Final answer
    x = 33,423,373,630.41

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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.