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Finding the Third Proportional to 4,499,571,106 and 9,791,248,576

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Solution

The third proportional to 4,499,571,106 and 9,791,248,576 is: 21,306,152,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,499,571,106 : 9,791,248,576 = 9,791,248,576 : x
  2. Step 2: Convert to fraction form
    4,499,571,106/9,791,248,576 = 9,791,248,576/x
  3. Step 3: Cross multiply
    4,499,571,106x = 9,791,248,576 × 9,791,248,576
  4. Step 4: Simplify right side
    4,499,571,106x = 95,868,548,677,022,023,680
  5. Step 5: Solve for x
    x = 95,868,548,677,022,023,680/4,499,571,106
  6. Step 6: Final answer
    x = 21,306,152,612.90

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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.