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Finding the Third Proportional to 46,966,758 and 75,498,815

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Solution

The third proportional to 46,966,758 and 75,498,815 is: 121,363,945.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,966,758 : 75,498,815 = 75,498,815 : x
  2. Step 2: Convert to fraction form
    46,966,758/75,498,815 = 75,498,815/x
  3. Step 3: Cross multiply
    46,966,758x = 75,498,815 × 75,498,815
  4. Step 4: Simplify right side
    46,966,758x = 5,700,071,066,404,225
  5. Step 5: Solve for x
    x = 5,700,071,066,404,225/46,966,758
  6. Step 6: Final answer
    x = 121,363,945.67

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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.