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Finding the Third Proportional to 46,103,694 and 75,275,211

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Solution

The third proportional to 46,103,694 and 75,275,211 is: 122,904,628.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,103,694 : 75,275,211 = 75,275,211 : x
  2. Step 2: Convert to fraction form
    46,103,694/75,275,211 = 75,275,211/x
  3. Step 3: Cross multiply
    46,103,694x = 75,275,211 × 75,275,211
  4. Step 4: Simplify right side
    46,103,694x = 5,666,357,391,094,521
  5. Step 5: Solve for x
    x = 5,666,357,391,094,521/46,103,694
  6. Step 6: Final answer
    x = 122,904,628.66

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.