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Finding the Third Proportional to 2,591,019,009 and 5,594,905,224

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Solution

The third proportional to 2,591,019,009 and 5,594,905,224 is: 12,081,333,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591,019,009 : 5,594,905,224 = 5,594,905,224 : x
  2. Step 2: Convert to fraction form
    2,591,019,009/5,594,905,224 = 5,594,905,224/x
  3. Step 3: Cross multiply
    2,591,019,009x = 5,594,905,224 × 5,594,905,224
  4. Step 4: Simplify right side
    2,591,019,009x = 31,302,964,465,542,492,160
  5. Step 5: Solve for x
    x = 31,302,964,465,542,492,160/2,591,019,009
  6. Step 6: Final answer
    x = 12,081,333,389.22

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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.