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Finding the Third Proportional to 38,084,121 and 58,018,549.50

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Solution

The third proportional to 38,084,121 and 58,018,549.50 is: 88,387,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,084,121 : 58,018,549.50 = 58,018,549.50 : x
  2. Step 2: Convert to fraction form
    38,084,121/58,018,549.50 = 58,018,549.50/x
  3. Step 3: Cross multiply
    38,084,121x = 58,018,549.50 × 58,018,549.50
  4. Step 4: Simplify right side
    38,084,121x = 3,366,152,086,083,950
  5. Step 5: Solve for x
    x = 3,366,152,086,083,950/38,084,121
  6. Step 6: Final answer
    x = 88,387,285.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.