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Finding the Third Proportional to 1,453,473,221 and 3,188,341,989

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Solution

The third proportional to 1,453,473,221 and 3,188,341,989 is: 6,993,953,856.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453,473,221 : 3,188,341,989 = 3,188,341,989 : x
  2. Step 2: Convert to fraction form
    1,453,473,221/3,188,341,989 = 3,188,341,989/x
  3. Step 3: Cross multiply
    1,453,473,221x = 3,188,341,989 × 3,188,341,989
  4. Step 4: Simplify right side
    1,453,473,221x = 10,165,524,638,820,476,928
  5. Step 5: Solve for x
    x = 10,165,524,638,820,476,928/1,453,473,221
  6. Step 6: Final answer
    x = 6,993,953,856.15

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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.