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Finding the Third Proportional to 4,037,266,193,352 and 8,686,858,355,487

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Solution

The third proportional to 4,037,266,193,352 and 8,686,858,355,487 is: 18,691,239,188,675.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,037,266,193,352 : 8,686,858,355,487 = 8,686,858,355,487 : x
  2. Step 2: Convert to fraction form
    4,037,266,193,352/8,686,858,355,487 = 8,686,858,355,487/x
  3. Step 3: Cross multiply
    4,037,266,193,352x = 8,686,858,355,487 × 8,686,858,355,487
  4. Step 4: Simplify right side
    4,037,266,193,352x = 75,461,508,088,294,304,584,302,592
  5. Step 5: Solve for x
    x = 75,461,508,088,294,304,584,302,592/4,037,266,193,352
  6. Step 6: Final answer
    x = 18,691,239,188,675.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.