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Finding the Third Proportional to 19,406,532,647 and 29,032,221,571

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Solution

The third proportional to 19,406,532,647 and 29,032,221,571 is: 43,432,276,372.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,406,532,647 : 29,032,221,571 = 29,032,221,571 : x
  2. Step 2: Convert to fraction form
    19,406,532,647/29,032,221,571 = 29,032,221,571/x
  3. Step 3: Cross multiply
    19,406,532,647x = 29,032,221,571 × 29,032,221,571
  4. Step 4: Simplify right side
    19,406,532,647x = 842,869,889,347,637,739,520
  5. Step 5: Solve for x
    x = 842,869,889,347,637,739,520/19,406,532,647
  6. Step 6: Final answer
    x = 43,432,276,372.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.