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Finding the Third Proportional to 52,616,291,262 and 108,021,931,911

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Solution

The third proportional to 52,616,291,262 and 108,021,931,911 is: 221,770,434,477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,616,291,262 : 108,021,931,911 = 108,021,931,911 : x
  2. Step 2: Convert to fraction form
    52,616,291,262/108,021,931,911 = 108,021,931,911/x
  3. Step 3: Cross multiply
    52,616,291,262x = 108,021,931,911 × 108,021,931,911
  4. Step 4: Simplify right side
    52,616,291,262x = 11,668,737,773,784,719,687,680
  5. Step 5: Solve for x
    x = 11,668,737,773,784,719,687,680/52,616,291,262
  6. Step 6: Final answer
    x = 221,770,434,477.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.