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Finding the Third Proportional to 22,684,549.50 and 49,778,091

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Solution

The third proportional to 22,684,549.50 and 49,778,091 is: 109,231,102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684,549.50 : 49,778,091 = 49,778,091 : x
  2. Step 2: Convert to fraction form
    22,684,549.50/49,778,091 = 49,778,091/x
  3. Step 3: Cross multiply
    22,684,549.50x = 49,778,091 × 49,778,091
  4. Step 4: Simplify right side
    22,684,549.50x = 2,477,858,343,604,281
  5. Step 5: Solve for x
    x = 2,477,858,343,604,281/22,684,549.50
  6. Step 6: Final answer
    x = 109,231,102.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.