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Finding the Third Proportional to 6,157,296,576 and 13,443,636,276

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Solution

The third proportional to 6,157,296,576 and 13,443,636,276 is: 29,352,387,706.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157,296,576 : 13,443,636,276 = 13,443,636,276 : x
  2. Step 2: Convert to fraction form
    6,157,296,576/13,443,636,276 = 13,443,636,276/x
  3. Step 3: Cross multiply
    6,157,296,576x = 13,443,636,276 × 13,443,636,276
  4. Step 4: Simplify right side
    6,157,296,576x = 180,731,356,321,383,153,664
  5. Step 5: Solve for x
    x = 180,731,356,321,383,153,664/6,157,296,576
  6. Step 6: Final answer
    x = 29,352,387,706.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.