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Finding the Third Proportional to 681,574,812 and 1,492,887,648

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Solution

The third proportional to 681,574,812 and 1,492,887,648 is: 3,269,947,026.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,574,812 : 1,492,887,648 = 1,492,887,648 : x
  2. Step 2: Convert to fraction form
    681,574,812/1,492,887,648 = 1,492,887,648/x
  3. Step 3: Cross multiply
    681,574,812x = 1,492,887,648 × 1,492,887,648
  4. Step 4: Simplify right side
    681,574,812x = 2,228,713,529,550,971,904
  5. Step 5: Solve for x
    x = 2,228,713,529,550,971,904/681,574,812
  6. Step 6: Final answer
    x = 3,269,947,026.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.