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Finding the Third Proportional to 368,350,530,502 and 801,563,025,356

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Solution

The third proportional to 368,350,530,502 and 801,563,025,356 is: 1,744,271,367,662.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,350,530,502 : 801,563,025,356 = 801,563,025,356 : x
  2. Step 2: Convert to fraction form
    368,350,530,502/801,563,025,356 = 801,563,025,356/x
  3. Step 3: Cross multiply
    368,350,530,502x = 801,563,025,356 × 801,563,025,356
  4. Step 4: Simplify right side
    368,350,530,502x = 642,503,283,617,863,489,814,528
  5. Step 5: Solve for x
    x = 642,503,283,617,863,489,814,528/368,350,530,502
  6. Step 6: Final answer
    x = 1,744,271,367,662.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.