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Finding the Third Proportional to 4,366,280,106 and 9,497,578,644

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Solution

The third proportional to 4,366,280,106 and 9,497,578,644 is: 20,659,233,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,366,280,106 : 9,497,578,644 = 9,497,578,644 : x
  2. Step 2: Convert to fraction form
    4,366,280,106/9,497,578,644 = 9,497,578,644/x
  3. Step 3: Cross multiply
    4,366,280,106x = 9,497,578,644 × 9,497,578,644
  4. Step 4: Simplify right side
    4,366,280,106x = 90,204,000,098,964,881,408
  5. Step 5: Solve for x
    x = 90,204,000,098,964,881,408/4,366,280,106
  6. Step 6: Final answer
    x = 20,659,233,468.56

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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.