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Finding the Third Proportional to 34,147,643 and 49,943,754

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Solution

The third proportional to 34,147,643 and 49,943,754 is: 73,046,873.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,147,643 : 49,943,754 = 49,943,754 : x
  2. Step 2: Convert to fraction form
    34,147,643/49,943,754 = 49,943,754/x
  3. Step 3: Cross multiply
    34,147,643x = 49,943,754 × 49,943,754
  4. Step 4: Simplify right side
    34,147,643x = 2,494,378,563,612,516
  5. Step 5: Solve for x
    x = 2,494,378,563,612,516/34,147,643
  6. Step 6: Final answer
    x = 73,046,873.65

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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.