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Finding the Third Proportional to 8,732,731,454 and 14,258,256,996

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Solution

The third proportional to 8,732,731,454 and 14,258,256,996 is: 23,279,989,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,732,731,454 : 14,258,256,996 = 14,258,256,996 : x
  2. Step 2: Convert to fraction form
    8,732,731,454/14,258,256,996 = 14,258,256,996/x
  3. Step 3: Cross multiply
    8,732,731,454x = 14,258,256,996 × 14,258,256,996
  4. Step 4: Simplify right side
    8,732,731,454x = 203,297,892,563,982,942,208
  5. Step 5: Solve for x
    x = 203,297,892,563,982,942,208/8,732,731,454
  6. Step 6: Final answer
    x = 23,279,989,042.93

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.