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Finding the Third Proportional to 2,005,522,156 and 4,398,464,576

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Solution

The third proportional to 2,005,522,156 and 4,398,464,576 is: 9,646,610,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,522,156 : 4,398,464,576 = 4,398,464,576 : x
  2. Step 2: Convert to fraction form
    2,005,522,156/4,398,464,576 = 4,398,464,576/x
  3. Step 3: Cross multiply
    2,005,522,156x = 4,398,464,576 × 4,398,464,576
  4. Step 4: Simplify right side
    2,005,522,156x = 19,346,490,626,326,859,776
  5. Step 5: Solve for x
    x = 19,346,490,626,326,859,776/2,005,522,156
  6. Step 6: Final answer
    x = 9,646,610,269.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.