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Finding the Third Proportional to 4,562,347,830,800 and 9,668,634,028,156

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Solution

The third proportional to 4,562,347,830,800 and 9,668,634,028,156 is: 20,489,994,940,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562,347,830,800 : 9,668,634,028,156 = 9,668,634,028,156 : x
  2. Step 2: Convert to fraction form
    4,562,347,830,800/9,668,634,028,156 = 9,668,634,028,156/x
  3. Step 3: Cross multiply
    4,562,347,830,800x = 9,668,634,028,156 × 9,668,634,028,156
  4. Step 4: Simplify right side
    4,562,347,830,800x = 93,482,483,970,416,123,005,894,656
  5. Step 5: Solve for x
    x = 93,482,483,970,416,123,005,894,656/4,562,347,830,800
  6. Step 6: Final answer
    x = 20,489,994,940,614.63

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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.