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Finding the Third Proportional to 501,281,568 and 766,330,368

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Solution

The third proportional to 501,281,568 and 766,330,368 is: 1,171,521,696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,281,568 : 766,330,368 = 766,330,368 : x
  2. Step 2: Convert to fraction form
    501,281,568/766,330,368 = 766,330,368/x
  3. Step 3: Cross multiply
    501,281,568x = 766,330,368 × 766,330,368
  4. Step 4: Simplify right side
    501,281,568x = 587,262,232,919,015,424
  5. Step 5: Solve for x
    x = 587,262,232,919,015,424/501,281,568
  6. Step 6: Final answer
    x = 1,171,521,696.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.