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Finding the Third Proportional to 77,486,024,552 and 110,805,147,064

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Solution

The third proportional to 77,486,024,552 and 110,805,147,064 is: 158,451,548,996.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,486,024,552 : 110,805,147,064 = 110,805,147,064 : x
  2. Step 2: Convert to fraction form
    77,486,024,552/110,805,147,064 = 110,805,147,064/x
  3. Step 3: Cross multiply
    77,486,024,552x = 110,805,147,064 × 110,805,147,064
  4. Step 4: Simplify right side
    77,486,024,552x = 12,277,780,615,874,666,823,680
  5. Step 5: Solve for x
    x = 12,277,780,615,874,666,823,680/77,486,024,552
  6. Step 6: Final answer
    x = 158,451,548,996.88

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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.