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Finding the Third Proportional to 7,538,759,858 and 16,572,994,447

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Solution

The third proportional to 7,538,759,858 and 16,572,994,447 is: 36,433,597,848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538,759,858 : 16,572,994,447 = 16,572,994,447 : x
  2. Step 2: Convert to fraction form
    7,538,759,858/16,572,994,447 = 16,572,994,447/x
  3. Step 3: Cross multiply
    7,538,759,858x = 16,572,994,447 × 16,572,994,447
  4. Step 4: Simplify right side
    7,538,759,858x = 274,664,144,940,292,833,280
  5. Step 5: Solve for x
    x = 274,664,144,940,292,833,280/7,538,759,858
  6. Step 6: Final answer
    x = 36,433,597,848.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.