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Finding the Third Proportional to 46,103,698 and 75,275,217

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Solution

The third proportional to 46,103,698 and 75,275,217 is: 122,904,637.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,103,698 : 75,275,217 = 75,275,217 : x
  2. Step 2: Convert to fraction form
    46,103,698/75,275,217 = 75,275,217/x
  3. Step 3: Cross multiply
    46,103,698x = 75,275,217 × 75,275,217
  4. Step 4: Simplify right side
    46,103,698x = 5,666,358,294,397,089
  5. Step 5: Solve for x
    x = 5,666,358,294,397,089/46,103,698
  6. Step 6: Final answer
    x = 122,904,637.59

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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.