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Finding the Third Proportional to 46,103,696 and 75,275,214

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Solution

The third proportional to 46,103,696 and 75,275,214 is: 122,904,633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,103,696 : 75,275,214 = 75,275,214 : x
  2. Step 2: Convert to fraction form
    46,103,696/75,275,214 = 75,275,214/x
  3. Step 3: Cross multiply
    46,103,696x = 75,275,214 × 75,275,214
  4. Step 4: Simplify right side
    46,103,696x = 5,666,357,842,745,796
  5. Step 5: Solve for x
    x = 5,666,357,842,745,796/46,103,696
  6. Step 6: Final answer
    x = 122,904,633.13

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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.