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Finding the Third Proportional to 5,862,196,949 and 12,642,698,026

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Solution

The third proportional to 5,862,196,949 and 12,642,698,026 is: 27,265,855,236.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862,196,949 : 12,642,698,026 = 12,642,698,026 : x
  2. Step 2: Convert to fraction form
    5,862,196,949/12,642,698,026 = 12,642,698,026/x
  3. Step 3: Cross multiply
    5,862,196,949x = 12,642,698,026 × 12,642,698,026
  4. Step 4: Simplify right side
    5,862,196,949x = 159,837,813,376,624,295,936
  5. Step 5: Solve for x
    x = 159,837,813,376,624,295,936/5,862,196,949
  6. Step 6: Final answer
    x = 27,265,855,236.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.