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Finding the Third Proportional to 1,817,227,970 and 3,952,853,084

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Solution

The third proportional to 1,817,227,970 and 3,952,853,084 is: 8,598,286,930.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817,227,970 : 3,952,853,084 = 3,952,853,084 : x
  2. Step 2: Convert to fraction form
    1,817,227,970/3,952,853,084 = 3,952,853,084/x
  3. Step 3: Cross multiply
    1,817,227,970x = 3,952,853,084 × 3,952,853,084
  4. Step 4: Simplify right side
    1,817,227,970x = 15,625,047,503,688,310,784
  5. Step 5: Solve for x
    x = 15,625,047,503,688,310,784/1,817,227,970
  6. Step 6: Final answer
    x = 8,598,286,930.22

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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.