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Finding the Third Proportional to 429,360,374 and 943,069,828

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Solution

The third proportional to 429,360,374 and 943,069,828 is: 2,071,408,435.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,360,374 : 943,069,828 = 943,069,828 : x
  2. Step 2: Convert to fraction form
    429,360,374/943,069,828 = 943,069,828/x
  3. Step 3: Cross multiply
    429,360,374x = 943,069,828 × 943,069,828
  4. Step 4: Simplify right side
    429,360,374x = 889,380,700,483,949,568
  5. Step 5: Solve for x
    x = 889,380,700,483,949,568/429,360,374
  6. Step 6: Final answer
    x = 2,071,408,435.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.