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Finding the Third Proportional to 26,658,317,129 and 55,523,127,478

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Solution

The third proportional to 26,658,317,129 and 55,523,127,478 is: 115,641,871,541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,658,317,129 : 55,523,127,478 = 55,523,127,478 : x
  2. Step 2: Convert to fraction form
    26,658,317,129/55,523,127,478 = 55,523,127,478/x
  3. Step 3: Cross multiply
    26,658,317,129x = 55,523,127,478 × 55,523,127,478
  4. Step 4: Simplify right side
    26,658,317,129x = 3,082,817,684,938,238,722,048
  5. Step 5: Solve for x
    x = 3,082,817,684,938,238,722,048/26,658,317,129
  6. Step 6: Final answer
    x = 115,641,871,541.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.