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Finding the Third Proportional to 1,197,705,314 and 2,606,311,695.50

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Solution

The third proportional to 1,197,705,314 and 2,606,311,695.50 is: 5,671,562,591.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,705,314 : 2,606,311,695.50 = 2,606,311,695.50 : x
  2. Step 2: Convert to fraction form
    1,197,705,314/2,606,311,695.50 = 2,606,311,695.50/x
  3. Step 3: Cross multiply
    1,197,705,314x = 2,606,311,695.50 × 2,606,311,695.50
  4. Step 4: Simplify right side
    1,197,705,314x = 6,792,860,654,100,084,736
  5. Step 5: Solve for x
    x = 6,792,860,654,100,084,736/1,197,705,314
  6. Step 6: Final answer
    x = 5,671,562,591.15

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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.