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Finding the Third Proportional to 19,406,532,645 and 29,032,221,568

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Solution

The third proportional to 19,406,532,645 and 29,032,221,568 is: 43,432,276,367.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,406,532,645 : 29,032,221,568 = 29,032,221,568 : x
  2. Step 2: Convert to fraction form
    19,406,532,645/29,032,221,568 = 29,032,221,568/x
  3. Step 3: Cross multiply
    19,406,532,645x = 29,032,221,568 × 29,032,221,568
  4. Step 4: Simplify right side
    19,406,532,645x = 842,869,889,173,444,362,240
  5. Step 5: Solve for x
    x = 842,869,889,173,444,362,240/19,406,532,645
  6. Step 6: Final answer
    x = 43,432,276,367.55

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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.