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Finding the Third Proportional to 34,147,641 and 49,943,751

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Solution

The third proportional to 34,147,641 and 49,943,751 is: 73,046,869.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,147,641 : 49,943,751 = 49,943,751 : x
  2. Step 2: Convert to fraction form
    34,147,641/49,943,751 = 49,943,751/x
  3. Step 3: Cross multiply
    34,147,641x = 49,943,751 × 49,943,751
  4. Step 4: Simplify right side
    34,147,641x = 2,494,378,263,950,001
  5. Step 5: Solve for x
    x = 2,494,378,263,950,001/34,147,641
  6. Step 6: Final answer
    x = 73,046,869.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.