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Finding the Third Proportional to 4,346,012,364 and 9,414,025,146

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Solution

The third proportional to 4,346,012,364 and 9,414,025,146 is: 20,391,996,622.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346,012,364 : 9,414,025,146 = 9,414,025,146 : x
  2. Step 2: Convert to fraction form
    4,346,012,364/9,414,025,146 = 9,414,025,146/x
  3. Step 3: Cross multiply
    4,346,012,364x = 9,414,025,146 × 9,414,025,146
  4. Step 4: Simplify right side
    4,346,012,364x = 88,623,869,449,520,316,416
  5. Step 5: Solve for x
    x = 88,623,869,449,520,316,416/4,346,012,364
  6. Step 6: Final answer
    x = 20,391,996,622.84

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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.