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Finding the Third Proportional to 7,768,620,333 and 11,357,994,595.50

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Solution

The third proportional to 7,768,620,333 and 11,357,994,595.50 is: 16,605,785,287.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768,620,333 : 11,357,994,595.50 = 11,357,994,595.50 : x
  2. Step 2: Convert to fraction form
    7,768,620,333/11,357,994,595.50 = 11,357,994,595.50/x
  3. Step 3: Cross multiply
    7,768,620,333x = 11,357,994,595.50 × 11,357,994,595.50
  4. Step 4: Simplify right side
    7,768,620,333x = 129,004,041,231,407,202,304
  5. Step 5: Solve for x
    x = 129,004,041,231,407,202,304/7,768,620,333
  6. Step 6: Final answer
    x = 16,605,785,287.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.