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Finding the Third Proportional to 55,005,024 and 116,566,834

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Solution

The third proportional to 55,005,024 and 116,566,834 is: 247,028,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,005,024 : 116,566,834 = 116,566,834 : x
  2. Step 2: Convert to fraction form
    55,005,024/116,566,834 = 116,566,834/x
  3. Step 3: Cross multiply
    55,005,024x = 116,566,834 × 116,566,834
  4. Step 4: Simplify right side
    55,005,024x = 13,587,826,788,783,556
  5. Step 5: Solve for x
    x = 13,587,826,788,783,556/55,005,024
  6. Step 6: Final answer
    x = 247,028,831.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.