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Finding the Third Proportional to 34,009,724.63 and 69,446,943.38

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Solution

The third proportional to 34,009,724.63 and 69,446,943.38 is: 141,808,791.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,009,724.63 : 69,446,943.38 = 69,446,943.38 : x
  2. Step 2: Convert to fraction form
    34,009,724.63/69,446,943.38 = 69,446,943.38/x
  3. Step 3: Cross multiply
    34,009,724.63x = 69,446,943.38 × 69,446,943.38
  4. Step 4: Simplify right side
    34,009,724.63x = 4,822,877,944,130,456
  5. Step 5: Solve for x
    x = 4,822,877,944,130,456/34,009,724.63
  6. Step 6: Final answer
    x = 141,808,791.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.