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Finding the Third Proportional to 14,797,798,316 and 21,380,263,146

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Solution

The third proportional to 14,797,798,316 and 21,380,263,146 is: 30,890,788,104.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797,798,316 : 21,380,263,146 = 21,380,263,146 : x
  2. Step 2: Convert to fraction form
    14,797,798,316/21,380,263,146 = 21,380,263,146/x
  3. Step 3: Cross multiply
    14,797,798,316x = 21,380,263,146 × 21,380,263,146
  4. Step 4: Simplify right side
    14,797,798,316x = 457,115,652,192,205,799,424
  5. Step 5: Solve for x
    x = 457,115,652,192,205,799,424/14,797,798,316
  6. Step 6: Final answer
    x = 30,890,788,104.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.