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Finding the Third Proportional to 5,280,494,735 and 11,190,547,766

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Solution

The third proportional to 5,280,494,735 and 11,190,547,766 is: 23,715,270,175.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280,494,735 : 11,190,547,766 = 11,190,547,766 : x
  2. Step 2: Convert to fraction form
    5,280,494,735/11,190,547,766 = 11,190,547,766/x
  3. Step 3: Cross multiply
    5,280,494,735x = 11,190,547,766 × 11,190,547,766
  4. Step 4: Simplify right side
    5,280,494,735x = 125,228,359,303,127,597,056
  5. Step 5: Solve for x
    x = 125,228,359,303,127,597,056/5,280,494,735
  6. Step 6: Final answer
    x = 23,715,270,175.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.