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Finding the Third Proportional to 5,404,780,173 and 11,638,870,746

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Solution

The third proportional to 5,404,780,173 and 11,638,870,746 is: 25,063,611,822.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404,780,173 : 11,638,870,746 = 11,638,870,746 : x
  2. Step 2: Convert to fraction form
    5,404,780,173/11,638,870,746 = 11,638,870,746/x
  3. Step 3: Cross multiply
    5,404,780,173x = 11,638,870,746 × 11,638,870,746
  4. Step 4: Simplify right side
    5,404,780,173x = 135,463,312,242,094,604,288
  5. Step 5: Solve for x
    x = 135,463,312,242,094,604,288/5,404,780,173
  6. Step 6: Final answer
    x = 25,063,611,822.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.