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Finding the Third Proportional to 26,234,106,978 and 56,648,497,785

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Solution

The third proportional to 26,234,106,978 and 56,648,497,785 is: 122,323,672,156.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,234,106,978 : 56,648,497,785 = 56,648,497,785 : x
  2. Step 2: Convert to fraction form
    26,234,106,978/56,648,497,785 = 56,648,497,785/x
  3. Step 3: Cross multiply
    26,234,106,978x = 56,648,497,785 × 56,648,497,785
  4. Step 4: Simplify right side
    26,234,106,978x = 3,209,052,301,297,150,066,688
  5. Step 5: Solve for x
    x = 3,209,052,301,297,150,066,688/26,234,106,978
  6. Step 6: Final answer
    x = 122,323,672,156.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.