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Finding the Third Proportional to 1,263,418,420 and 2,726,600,432

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Solution

The third proportional to 1,263,418,420 and 2,726,600,432 is: 5,884,313,381.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,418,420 : 2,726,600,432 = 2,726,600,432 : x
  2. Step 2: Convert to fraction form
    1,263,418,420/2,726,600,432 = 2,726,600,432/x
  3. Step 3: Cross multiply
    1,263,418,420x = 2,726,600,432 × 2,726,600,432
  4. Step 4: Simplify right side
    1,263,418,420x = 7,434,349,915,782,586,368
  5. Step 5: Solve for x
    x = 7,434,349,915,782,586,368/1,263,418,420
  6. Step 6: Final answer
    x = 5,884,313,381.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.