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Finding the Third Proportional to 9,050,292,349 and 14,125,356,153

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Solution

The third proportional to 9,050,292,349 and 14,125,356,153 is: 22,046,324,997.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,050,292,349 : 14,125,356,153 = 14,125,356,153 : x
  2. Step 2: Convert to fraction form
    9,050,292,349/14,125,356,153 = 14,125,356,153/x
  3. Step 3: Cross multiply
    9,050,292,349x = 14,125,356,153 × 14,125,356,153
  4. Step 4: Simplify right side
    9,050,292,349x = 199,525,686,449,094,950,912
  5. Step 5: Solve for x
    x = 199,525,686,449,094,950,912/9,050,292,349
  6. Step 6: Final answer
    x = 22,046,324,997.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.