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Finding the Third Proportional to 26,297,884,280 and 56,319,321,710

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Solution

The third proportional to 26,297,884,280 and 56,319,321,710 is: 120,612,972,667.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,297,884,280 : 56,319,321,710 = 56,319,321,710 : x
  2. Step 2: Convert to fraction form
    26,297,884,280/56,319,321,710 = 56,319,321,710/x
  3. Step 3: Cross multiply
    26,297,884,280x = 56,319,321,710 × 56,319,321,710
  4. Step 4: Simplify right side
    26,297,884,280x = 3,171,865,997,874,477,137,920
  5. Step 5: Solve for x
    x = 3,171,865,997,874,477,137,920/26,297,884,280
  6. Step 6: Final answer
    x = 120,612,972,667.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.