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Finding the Third Proportional to 681,574,811 and 1,492,887,646

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Solution

The third proportional to 681,574,811 and 1,492,887,646 is: 3,269,947,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,574,811 : 1,492,887,646 = 1,492,887,646 : x
  2. Step 2: Convert to fraction form
    681,574,811/1,492,887,646 = 1,492,887,646/x
  3. Step 3: Cross multiply
    681,574,811x = 1,492,887,646 × 1,492,887,646
  4. Step 4: Simplify right side
    681,574,811x = 2,228,713,523,579,421,440
  5. Step 5: Solve for x
    x = 2,228,713,523,579,421,440/681,574,811
  6. Step 6: Final answer
    x = 3,269,947,022.12

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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.