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Finding the Third Proportional to 4,242,006,348.75 and 9,218,287,012.50

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Solution

The third proportional to 4,242,006,348.75 and 9,218,287,012.50 is: 20,032,222,599.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242,006,348.75 : 9,218,287,012.50 = 9,218,287,012.50 : x
  2. Step 2: Convert to fraction form
    4,242,006,348.75/9,218,287,012.50 = 9,218,287,012.50/x
  3. Step 3: Cross multiply
    4,242,006,348.75x = 9,218,287,012.50 × 9,218,287,012.50
  4. Step 4: Simplify right side
    4,242,006,348.75x = 84,976,815,444,826,177,536
  5. Step 5: Solve for x
    x = 84,976,815,444,826,177,536/4,242,006,348.75
  6. Step 6: Final answer
    x = 20,032,222,599.07

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.