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Finding the Third Proportional to 9,994,347,437 and 21,709,146,539

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Solution

The third proportional to 9,994,347,437 and 21,709,146,539 is: 47,155,359,209.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994,347,437 : 21,709,146,539 = 21,709,146,539 : x
  2. Step 2: Convert to fraction form
    9,994,347,437/21,709,146,539 = 21,709,146,539/x
  3. Step 3: Cross multiply
    9,994,347,437x = 21,709,146,539 × 21,709,146,539
  4. Step 4: Simplify right side
    9,994,347,437x = 471,287,043,451,775,680,512
  5. Step 5: Solve for x
    x = 471,287,043,451,775,680,512/9,994,347,437
  6. Step 6: Final answer
    x = 47,155,359,209.05

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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.