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Finding the Third Proportional to 1,817,223,950 and 3,952,842,844

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Solution

The third proportional to 1,817,223,950 and 3,952,842,844 is: 8,598,261,402.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817,223,950 : 3,952,842,844 = 3,952,842,844 : x
  2. Step 2: Convert to fraction form
    1,817,223,950/3,952,842,844 = 3,952,842,844/x
  3. Step 3: Cross multiply
    1,817,223,950x = 3,952,842,844 × 3,952,842,844
  4. Step 4: Simplify right side
    1,817,223,950x = 15,624,966,549,362,008,064
  5. Step 5: Solve for x
    x = 15,624,966,549,362,008,064/1,817,223,950
  6. Step 6: Final answer
    x = 8,598,261,402.71

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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.