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Finding the Third Proportional to 48,835,920 and 77,737,239

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Solution

The third proportional to 48,835,920 and 77,737,239 is: 123,742,489.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,835,920 : 77,737,239 = 77,737,239 : x
  2. Step 2: Convert to fraction form
    48,835,920/77,737,239 = 77,737,239/x
  3. Step 3: Cross multiply
    48,835,920x = 77,737,239 × 77,737,239
  4. Step 4: Simplify right side
    48,835,920x = 6,043,078,327,343,121
  5. Step 5: Solve for x
    x = 6,043,078,327,343,121/48,835,920
  6. Step 6: Final answer
    x = 123,742,489.69

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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.