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Finding the Third Proportional to 13,894,230,645 and 21,468,889,984.50

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Solution

The third proportional to 13,894,230,645 and 21,468,889,984.50 is: 33,172,994,528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894,230,645 : 21,468,889,984.50 = 21,468,889,984.50 : x
  2. Step 2: Convert to fraction form
    13,894,230,645/21,468,889,984.50 = 21,468,889,984.50/x
  3. Step 3: Cross multiply
    13,894,230,645x = 21,468,889,984.50 × 21,468,889,984.50
  4. Step 4: Simplify right side
    13,894,230,645x = 460,913,237,166,564,442,112
  5. Step 5: Solve for x
    x = 460,913,237,166,564,442,112/13,894,230,645
  6. Step 6: Final answer
    x = 33,172,994,528.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.