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Finding the Third Proportional to 1,817,227,989 and 3,952,853,118

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Solution

The third proportional to 1,817,227,989 and 3,952,853,118 is: 8,598,286,988.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817,227,989 : 3,952,853,118 = 3,952,853,118 : x
  2. Step 2: Convert to fraction form
    1,817,227,989/3,952,853,118 = 3,952,853,118/x
  3. Step 3: Cross multiply
    1,817,227,989x = 3,952,853,118 × 3,952,853,118
  4. Step 4: Simplify right side
    1,817,227,989x = 15,625,047,772,482,322,432
  5. Step 5: Solve for x
    x = 15,625,047,772,482,322,432/1,817,227,989
  6. Step 6: Final answer
    x = 8,598,286,988.24

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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.