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Finding the Third Proportional to 34,127,947.69 and 73,710,204.19

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Solution

The third proportional to 34,127,947.69 and 73,710,204.19 is: 159,200,730.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,127,947.69 : 73,710,204.19 = 73,710,204.19 : x
  2. Step 2: Convert to fraction form
    34,127,947.69/73,710,204.19 = 73,710,204.19/x
  3. Step 3: Cross multiply
    34,127,947.69x = 73,710,204.19 × 73,710,204.19
  4. Step 4: Simplify right side
    34,127,947.69x = 5,433,194,201,362,943
  5. Step 5: Solve for x
    x = 5,433,194,201,362,943/34,127,947.69
  6. Step 6: Final answer
    x = 159,200,730.47

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.