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Finding the Third Proportional to 42,267,939,293 and 90,586,406,421

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Solution

The third proportional to 42,267,939,293 and 90,586,406,421 is: 194,139,983,295.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,267,939,293 : 90,586,406,421 = 90,586,406,421 : x
  2. Step 2: Convert to fraction form
    42,267,939,293/90,586,406,421 = 90,586,406,421/x
  3. Step 3: Cross multiply
    42,267,939,293x = 90,586,406,421 × 90,586,406,421
  4. Step 4: Simplify right side
    42,267,939,293x = 8,205,897,028,270,589,739,008
  5. Step 5: Solve for x
    x = 8,205,897,028,270,589,739,008/42,267,939,293
  6. Step 6: Final answer
    x = 194,139,983,295.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.