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Finding the Third Proportional to 633,015,758 and 1,349,644,252

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Solution

The third proportional to 633,015,758 and 1,349,644,252 is: 2,877,558,076.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,015,758 : 1,349,644,252 = 1,349,644,252 : x
  2. Step 2: Convert to fraction form
    633,015,758/1,349,644,252 = 1,349,644,252/x
  3. Step 3: Cross multiply
    633,015,758x = 1,349,644,252 × 1,349,644,252
  4. Step 4: Simplify right side
    633,015,758x = 1,821,539,606,956,639,488
  5. Step 5: Solve for x
    x = 1,821,539,606,956,639,488/633,015,758
  6. Step 6: Final answer
    x = 2,877,558,076.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.