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Finding the Third Proportional to 20,221,819,987 and 43,963,355,833

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Solution

The third proportional to 20,221,819,987 and 43,963,355,833 is: 95,578,768,742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,221,819,987 : 43,963,355,833 = 43,963,355,833 : x
  2. Step 2: Convert to fraction form
    20,221,819,987/43,963,355,833 = 43,963,355,833/x
  3. Step 3: Cross multiply
    20,221,819,987x = 43,963,355,833 × 43,963,355,833
  4. Step 4: Simplify right side
    20,221,819,987x = 1,932,776,656,098,975,023,104
  5. Step 5: Solve for x
    x = 1,932,776,656,098,975,023,104/20,221,819,987
  6. Step 6: Final answer
    x = 95,578,768,742.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.