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Finding the Third Proportional to 15,902,904,664 and 34,598,310,896

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Solution

The third proportional to 15,902,904,664 and 34,598,310,896 is: 75,271,979,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,902,904,664 : 34,598,310,896 = 34,598,310,896 : x
  2. Step 2: Convert to fraction form
    15,902,904,664/34,598,310,896 = 34,598,310,896/x
  3. Step 3: Cross multiply
    15,902,904,664x = 34,598,310,896 × 34,598,310,896
  4. Step 4: Simplify right side
    15,902,904,664x = 1,197,043,116,856,272,224,256
  5. Step 5: Solve for x
    x = 1,197,043,116,856,272,224,256/15,902,904,664
  6. Step 6: Final answer
    x = 75,271,979,688.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.