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Finding the Third Proportional to 3,209,496,296 and 6,988,772,996

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Solution

The third proportional to 3,209,496,296 and 6,988,772,996 is: 15,218,259,653.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209,496,296 : 6,988,772,996 = 6,988,772,996 : x
  2. Step 2: Convert to fraction form
    3,209,496,296/6,988,772,996 = 6,988,772,996/x
  3. Step 3: Cross multiply
    3,209,496,296x = 6,988,772,996 × 6,988,772,996
  4. Step 4: Simplify right side
    3,209,496,296x = 48,842,947,989,618,819,072
  5. Step 5: Solve for x
    x = 48,842,947,989,618,819,072/3,209,496,296
  6. Step 6: Final answer
    x = 15,218,259,653.55

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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.