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Finding the Third Proportional to 9,429,035,247 and 20,532,109,644

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Solution

The third proportional to 9,429,035,247 and 20,532,109,644 is: 44,709,507,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429,035,247 : 20,532,109,644 = 20,532,109,644 : x
  2. Step 2: Convert to fraction form
    9,429,035,247/20,532,109,644 = 20,532,109,644/x
  3. Step 3: Cross multiply
    9,429,035,247x = 20,532,109,644 × 20,532,109,644
  4. Step 4: Simplify right side
    9,429,035,247x = 421,567,526,433,237,827,584
  5. Step 5: Solve for x
    x = 421,567,526,433,237,827,584/9,429,035,247
  6. Step 6: Final answer
    x = 44,709,507,960.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.