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Finding the Third Proportional to 3,021,419,962.50 and 6,502,005,084

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Solution

The third proportional to 3,021,419,962.50 and 6,502,005,084 is: 13,992,119,810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021,419,962.50 : 6,502,005,084 = 6,502,005,084 : x
  2. Step 2: Convert to fraction form
    3,021,419,962.50/6,502,005,084 = 6,502,005,084/x
  3. Step 3: Cross multiply
    3,021,419,962.50x = 6,502,005,084 × 6,502,005,084
  4. Step 4: Simplify right side
    3,021,419,962.50x = 42,276,070,112,361,848,832
  5. Step 5: Solve for x
    x = 42,276,070,112,361,848,832/3,021,419,962.50
  6. Step 6: Final answer
    x = 13,992,119,810.24

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.