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Finding the Third Proportional to 912,189,009 and 1,991,582,650.50

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Solution

The third proportional to 912,189,009 and 1,991,582,650.50 is: 4,348,223,246.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    912,189,009 : 1,991,582,650.50 = 1,991,582,650.50 : x
  2. Step 2: Convert to fraction form
    912,189,009/1,991,582,650.50 = 1,991,582,650.50/x
  3. Step 3: Cross multiply
    912,189,009x = 1,991,582,650.50 × 1,991,582,650.50
  4. Step 4: Simplify right side
    912,189,009x = 3,966,401,453,772,604,928
  5. Step 5: Solve for x
    x = 3,966,401,453,772,604,928/912,189,009
  6. Step 6: Final answer
    x = 4,348,223,246.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.