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Finding the Third Proportional to 6,545,977,752 and 9,982,399,491

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Solution

The third proportional to 6,545,977,752 and 9,982,399,491 is: 15,222,828,945.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,545,977,752 : 9,982,399,491 = 9,982,399,491 : x
  2. Step 2: Convert to fraction form
    6,545,977,752/9,982,399,491 = 9,982,399,491/x
  3. Step 3: Cross multiply
    6,545,977,752x = 9,982,399,491 × 9,982,399,491
  4. Step 4: Simplify right side
    6,545,977,752x = 99,648,299,597,917,061,120
  5. Step 5: Solve for x
    x = 99,648,299,597,917,061,120/6,545,977,752
  6. Step 6: Final answer
    x = 15,222,828,945.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.