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Finding the Third Proportional to 377,218,482,140 and 822,709,539,607

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Solution

The third proportional to 377,218,482,140 and 822,709,539,607 is: 1,794,320,847,484.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,218,482,140 : 822,709,539,607 = 822,709,539,607 : x
  2. Step 2: Convert to fraction form
    377,218,482,140/822,709,539,607 = 822,709,539,607/x
  3. Step 3: Cross multiply
    377,218,482,140x = 822,709,539,607 × 822,709,539,607
  4. Step 4: Simplify right side
    377,218,482,140x = 676,850,986,560,361,882,189,824
  5. Step 5: Solve for x
    x = 676,850,986,560,361,882,189,824/377,218,482,140
  6. Step 6: Final answer
    x = 1,794,320,847,484.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.