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Finding the Third Proportional to 4,286,961,691.50 and 9,194,203,968

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Solution

The third proportional to 4,286,961,691.50 and 9,194,203,968 is: 19,718,717,518.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286,961,691.50 : 9,194,203,968 = 9,194,203,968 : x
  2. Step 2: Convert to fraction form
    4,286,961,691.50/9,194,203,968 = 9,194,203,968/x
  3. Step 3: Cross multiply
    4,286,961,691.50x = 9,194,203,968 × 9,194,203,968
  4. Step 4: Simplify right side
    4,286,961,691.50x = 84,533,386,605,186,940,928
  5. Step 5: Solve for x
    x = 84,533,386,605,186,940,928/4,286,961,691.50
  6. Step 6: Final answer
    x = 19,718,717,518.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.