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Finding the Third Proportional to 46,966,754 and 75,498,813

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Solution

The third proportional to 46,966,754 and 75,498,813 is: 121,363,949.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,966,754 : 75,498,813 = 75,498,813 : x
  2. Step 2: Convert to fraction form
    46,966,754/75,498,813 = 75,498,813/x
  3. Step 3: Cross multiply
    46,966,754x = 75,498,813 × 75,498,813
  4. Step 4: Simplify right side
    46,966,754x = 5,700,070,764,408,969
  5. Step 5: Solve for x
    x = 5,700,070,764,408,969/46,966,754
  6. Step 6: Final answer
    x = 121,363,949.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.