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Finding the Third Proportional to 48,835,922 and 77,737,242

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Solution

The third proportional to 48,835,922 and 77,737,242 is: 123,742,494.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,835,922 : 77,737,242 = 77,737,242 : x
  2. Step 2: Convert to fraction form
    48,835,922/77,737,242 = 77,737,242/x
  3. Step 3: Cross multiply
    48,835,922x = 77,737,242 × 77,737,242
  4. Step 4: Simplify right side
    48,835,922x = 6,043,078,793,766,564
  5. Step 5: Solve for x
    x = 6,043,078,793,766,564/48,835,922
  6. Step 6: Final answer
    x = 123,742,494.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.