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Finding the Third Proportional to 3,498,938,750.50 and 7,711,072,653

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Solution

The third proportional to 3,498,938,750.50 and 7,711,072,653 is: 16,993,907,495.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,498,938,750.50 : 7,711,072,653 = 7,711,072,653 : x
  2. Step 2: Convert to fraction form
    3,498,938,750.50/7,711,072,653 = 7,711,072,653/x
  3. Step 3: Cross multiply
    3,498,938,750.50x = 7,711,072,653 × 7,711,072,653
  4. Step 4: Simplify right side
    3,498,938,750.50x = 59,460,641,459,844,456,448
  5. Step 5: Solve for x
    x = 59,460,641,459,844,456,448/3,498,938,750.50
  6. Step 6: Final answer
    x = 16,993,907,495.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.